- #1

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- Homework Statement
- Please see below

- Relevant Equations
- Limit

Derivative from 1st Principle

Asymptotes

Taylor Series

L'Hopital rule

I imagine ##f(x)## has horizontal asymptote at ##x=k##. Since the graph of ##f(x)## will be close to horizontal as ##x \rightarrow \infty##, the slope of the graph will be close to zero so ##\lim_{x \rightarrow \infty} f'(x) = \lim_{x \rightarrow \infty} f^{"} (x) = 0##

But how to put it in mathematical way? Thanks