Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 9 - Infinite Series - 9.1 Sequences - Exercises Set 9.1: 9

Answer

first five terms: $2,2,2,2,2$ converges to $2$

Work Step by Step

To find the first five terms of the sequence, put the values $1,2,3,4,5$ into the function $a_n=2$. To find if the sequence converges, find the limit as n approaches positive infinity. This leaves $$\lim\limits_{n \to \infty} 2$$ This is 2. Therefore, the sequence converges to 2.
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