Answer
a. $0$ b. $0$
Work Step by Step
a. Given $\lim\limits_{x \to 0}\frac{f(x)}{x^2}=1$, we have $\lim\limits_{x \to 0}f(x)=\lim\limits_{x \to 0}x^2=0$
b. $\lim\limits_{x \to 0}\frac{f(x)}{x}=\lim\limits_{x \to 0}x=0$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 2: Limits and Continuity - Section 2.2 - Limit of a Function and Limit Laws - Exercises 2.2 - Page 59: 80
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