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Trigonometric Limits

Posted November 27th, 2009 by alpha
in

Find :$ \mathop{\lim}\limits_{x \to 0}\frac{x^3 cotx}{1-cosx} $

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answer

On November 27th, 2009 Structure says:

$ \mathop{\lim}\limits_{x \to 0}\frac{x^3 cotx}{1-cosx}=\mathop{\lim}\limits_{x \to 0}\frac{x^2 }{1-cosx}\frac{x}{\tan x}= \mathop{\lim}\limits_{x \to 0}\frac{x^2 }{2\sin^2\frac{x}{2}}=2 $

~~THANK YOU ~~

On November 28th, 2009 alpha says:

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``Old theorems never die; they turn into definitions.''
----E. Hewitt

''ALPHA" =)

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