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

Prove or disprove: if lim x->b (from the left) f'(x) = infinity then lim x->b (from the left) f(x) = infinity

2. Relevant equations

my gut instinct is that this is false.

3. The attempt at a solution

I have thought of many counterexamples but none of them seem to work. Does it matter that the limit is at a point and not as x-> infinity?

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# Limits of a function's derivative and how it relates to a function.

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