MathDB
I.S.I. B.Math.(Hons.) Admission test : 2010 Problem 8

Source:

April 11, 2012
functionlimitcalculuscalculus computations

Problem Statement

Let ff be a real-valued differentiable function on the real line R\mathbb{R} such that lim⁡x→0f(x)x2\lim_{x\to 0} \frac{f(x)}{x^2} exists, and is finite . Prove that f′(0)=0f'(0)=0.
Back to ProblemsView on AoPS