# Limit to derivative proof

1. Jun 5, 2012

### JPBenowitz

Suppose I have

limt$\rightarrow∞$ f(g(t)) = 0

and

limt$\rightarrow-∞$ f(g(t)) = 0

How would I prove $\frac{df}{dt}$$_{|}\Re$ = 0? (over the reals)

Last edited: Jun 5, 2012
2. Jun 5, 2012

### theorem4.5.9

This question doesn't make sense. Could you provide some context?

3. Jun 6, 2012

### JPBenowitz

I'm having problems displaying what I want to convey. Basically I proved that the limit for the curvature function will always converge to zero for any real continuous function and now I want to prove that the derivative with respect to time will always converge to zero.

So, essentially I need to prove that the integral over the reals of the curvature function will always converge to some constant.

4. Jun 6, 2012

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