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October 20, 2014

October 20, 2014

Posted by **soumitra** on Friday, July 11, 2014 at 11:06am.

lim [sin(x+h)-sinx]/h

h>0

- math -
**Steve**, Friday, July 11, 2014 at 11:21amThere are many proofs of this, such as the one here:

http://www.wyzant.com/resources/lessons/math/calculus/derivative_proofs/sinx

However, it relies on the fact that sinx/x -> 1 as x->0. That is usually proven as given here:

http://math.ucsd.edu/~wgarner/math20a/sin%28x%29_over_x.htm

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