Answer
$e^6$
Work Step by Step
$\lim\limits_{n \to \infty} (1+\dfrac{3}{n})^{2n}=\lim\limits_{n \to \infty} [(1+\dfrac{3}{n})^{n}]^2\\=(e^3)^2 \\=e^6$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 8 - Sequences and Infinite Series - Review Exercises - Page 658: 4
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