Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 11 - Infinite Series - 11.1 Sequences - Preliminary Questions - Page 537: 2


The right answer is (c).

Work Step by Step

We have (a) $\lim_{n\to \infty} \frac{n^2}{n^2+1}=1$. (b) $\lim_{n\to \infty} 2^n=\infty$. (c) $\lim_{n\to \infty} (\frac{-1}{2})^{n}=0$. Since $$\lim_{n\to \infty} (\frac{-1}{2})^{n}=0$$ then the right answer is (c).
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