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

## Homework Statement

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

## Homework Equations

my gut instinct is that this is false.

## 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?