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?