Answer
The sequence converges to $e^2.$
Work Step by Step
By continuity of limits we may take the limit to the exponent of $e$. The limit of $\frac{2n}{n + 2}$ is 2. Hence the sequence converges to $e^2.$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 11 - Section 11.1 - Sequences - 11.1 Exercises - Page 704: 34
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