Thursday

November 27, 2014

November 27, 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

**Answer this Question**

**Related Questions**

Calculus - Find the positive integers k for which lim ->0 sin(sin(x))/x^k ...

calculus - Could someone check my reasoning? thanx Find the derivative of the ...

calc bc (condensed - is the limit as x approaches 0 of sin3x over 3x equal to ...

Math (trigonometric identities) - I was given 21 questions for homework and I ...

CALCULUS - Evaluate each of the following. (a) lim x->0(e^x)-1-x/ x^2 (b) lim...

CALCULUS - Could someone please solve these four problems with explanations? I'd...

Trig Help - Prove the following: [1+sinx]/[1+cscx]=tanx/secx =[1+sinx]/[1+1/sinx...

Calculus..more help! - I have a question relating to limits that I solved lim(x...

Calculus - Q: If y=sinx/(1+tanx), find value of x not greater than pi, ...

math - y= 2sin^2 x y=1- sinx find values of x inthe interval 0<x<360 if ...