(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the limit:

lim (1-cos2x)/(xsinx)

x->0

2. Relevant equations

Identities

3. The attempt at a solution

I've done this over and over and over again! The answer is supposed to be 0 but I keep getting 2 ):

lim (1-cos2x)/(xsinx)

x->0

lim (1-1+2sin^{2}x)/(xsinx)

x->0

lim (2sin^{2}x)/(xsinx)

x->0

lim (2sinx)/x

x->0

= 2*1 = 2

Any help is appreciated!! Thank you!

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# Homework Help: Find limits of sine and cosine functions

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