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<blockquote data-quote="Yasho89" data-source="post: 7204457" data-attributes="member: 124258"><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">mekata thawath kramayak menna.</span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">{4 cos^2 x -3}/{cos^5 x - cos^5 (</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"><strong>π</strong>/6)</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">}</span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">3 kiyana eka api 4</span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">cos^2(</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"><strong>π</strong>/6) kiyala liya gaththoth,</span></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"></span></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"></span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">={4 cos^2 x -</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">4</span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">cos^2(</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"><strong>π</strong>/6)</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">}/{cos^5 x - cos^5 (</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"><strong>π</strong>/6)</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">}</span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">=4 {</span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">cos^2 x -</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">cos^2(</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"><strong>π</strong>/6)}</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">/{cos^5 x - cos^5 (</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"><strong>π</strong>/6)</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">}</span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">dan api simawa me widiyata wenas karala</span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: DarkRed">lim</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span> <span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: DarkRed"> cosx-cos<strong>π</strong>/6</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: DarkRed">---0</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">udai yatai dekama </span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"> cosx-cos<strong>π</strong>/6</span></span></span> <span style="font-family: 'Times New Roman'"><span style="font-size: 15px">n bedanawa.</span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">ethakota,</span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: DarkRed"><span style="color: Black">4</span> lim</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"> </span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">{</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">cos^2 x -</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">cos^2(</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"><strong>π</strong>/6)}</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">/</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">cosx-cos<strong>π</strong>/6</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"> </span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: DarkRed"> cosx-cos<strong>π</strong>/6</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: DarkRed">---0</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">_________________________________________________</span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"> </span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: DarkRed"> lim</span></span></span> <span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"> </span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: DarkRed"> cosx-cos<strong>π</strong>/6</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: DarkRed">---0</span></span></span> <span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">{cos^5 x - cos^5 (</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"><strong>π</strong>/6)</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">}</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">/ </span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black">cosx-cos<strong>π</strong>/6</span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"><span style="color: Black"> </span></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">dan ara </span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">lim [x^m-a^m]/ x-a =ma^m-1 suthraya dammama uththare enawa.</span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px">x---a</span></span><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p><p><span style="font-family: 'Times New Roman'"><span style="font-size: 15px"></span></span></p></blockquote><p></p>
[QUOTE="Yasho89, post: 7204457, member: 124258"] [FONT=Times New Roman][SIZE=4]mekata thawath kramayak menna. [/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]{4 cos^2 x -3}/{cos^5 x - cos^5 ([/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black][B]π[/B]/6)[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4]} 3 kiyana eka api 4[/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]cos^2([/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black][B]π[/B]/6) kiyala liya gaththoth, [/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]={4 cos^2 x -[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4]4[/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]cos^2([/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black][B]π[/B]/6)[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]}/{cos^5 x - cos^5 ([/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black][B]π[/B]/6)[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4]} =4 {[/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]cos^2 x -[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]cos^2([/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black][B]π[/B]/6)}[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]/{cos^5 x - cos^5 ([/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black][B]π[/B]/6)[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4]} dan api simawa me widiyata wenas karala [/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=DarkRed]lim[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4] [/SIZE][/FONT] [FONT=Times New Roman][SIZE=4][COLOR=DarkRed] cosx-cos[B]π[/B]/6[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=DarkRed]---0[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4] udai yatai dekama [/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black] cosx-cos[B]π[/B]/6[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black] [/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4]n bedanawa. ethakota, [/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=DarkRed][COLOR=Black]4[/COLOR] lim[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4] [/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]{[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]cos^2 x -[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]cos^2([/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black][B]π[/B]/6)}[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]/[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]cosx-cos[B]π[/B]/6[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4] [/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=DarkRed] cosx-cos[B]π[/B]/6[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=DarkRed]---0[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4] _________________________________________________ [/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=DarkRed] lim[/COLOR][/SIZE][/FONT] [FONT=Times New Roman][SIZE=4] [/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=DarkRed] cosx-cos[B]π[/B]/6[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=DarkRed]---0[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4] [/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]{cos^5 x - cos^5 ([/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black][B]π[/B]/6)[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]}[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]/ [/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black]cosx-cos[B]π[/B]/6[/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4][COLOR=Black] [/COLOR][/SIZE][/FONT][FONT=Times New Roman][SIZE=4] [/SIZE][/FONT][FONT=Times New Roman][SIZE=4] dan ara lim [x^m-a^m]/ x-a =ma^m-1 suthraya dammama uththare enawa. x---a[/SIZE][/FONT][FONT=Times New Roman][SIZE=4] [/SIZE][/FONT] [/QUOTE]
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