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OpenStudy (aravindg):
guys anyone knw limits and continuity??
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OpenStudy (nikvist):
:-)
OpenStudy (aravindg):
u knw??
OpenStudy (nikvist):
maybe
OpenStudy (aravindg):
meanss?
OpenStudy (nikvist):
post question
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OpenStudy (aravindg):
k
OpenStudy (aravindg):
find limit
OpenStudy (aravindg):
(note dont use el hospital :))
OpenStudy (aravindg):
\[\lim_{? \rightarrow 0} (x ^{3}\cot x)/(1-\cos x)=?\]
OpenStudy (aravindg):
help
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OpenStudy (nikvist):
\[\lim_{x\rightarrow 0}\frac{x^3\cot{x}}{1-\cos{x}}=\lim_{x\rightarrow 0}\frac{x^3\cot{x}}{2\sin^2{(x/2)}}=\lim_{x\rightarrow 0}\frac{x^3\cos{x}}{2\sin^2{(x/2)}\sin{x}}=\]\[=\lim_{x\rightarrow 0}\frac{x^3}{2\sin^2{(x/2)}\sin{x}}=\lim_{x\rightarrow 0}\frac{4(x/2)^2x}{2\sin^2{(x/2)}\sin{x}}=\]\[=2\cdot\lim_{x\rightarrow 0}\left(\frac{x/2}{\sin{(x/2)}}\right)^2\cdot \lim_{x\rightarrow 0}\frac{x}{\sin{x}}=2\]
OpenStudy (aravindg):
wow i hav some more do u hav board in twiddler?
OpenStudy (aravindg):
nikvist??
OpenStudy (aravindg):
..........plz reply?
OpenStudy (nikvist):
no I haven't got
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OpenStudy (aravindg):
oh here its take long time to get answers done :) u see i hav tons of work to do?can u help a bit??
OpenStudy (aravindg):
i am a great fan of u!!
OpenStudy (nikvist):
send to my mail if you want?
OpenStudy (aravindg):
wow thx a lot!!!!!!!!!!!!!THANK YOU THANK YOU THANK YOU!!!!!!!1
OpenStudy (aravindg):
whats ur id?
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OpenStudy (nikvist):
nikvist@gmail.com
OpenStudy (aravindg):
i sent a test mail u got it?
OpenStudy (aravindg):
....
OpenStudy (nikvist):
ok
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