Problem

Find the sum of the series. $ \sum_{n = 0}^{\i…

01:02

Problem 76 Medium Difficulty

Find the sum of the series.

$ \sum_{n = 0}^{\infty} \frac {3^n}{5^n n!} $

Name: find the sum of the series sum_n 0infty frac 3n5n n
Uploaded: 2018-03-08
Duration: 37 s
Channel: Numerade
Description: Find the sum of the series. $ \sum_{n = 0}^{\infty} \frac {3^n}{5^n n!} $

Answer

$e^{3 / 5}$

Topics

Sequences

Series

Calculus: Early Transcendentals

Chapter 11

Infinite Sequences and Series

Section 10

Taylor and Maclaurin Series

Discussion

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Video Transcript

so we can recall that Eat to the X equals two there from there and from zero to infinity Extra Paul in over a pictorial. And if we just plug in three fifth and this could be yeah, it just over some So we could do that. This some s u goes to eat too powerful three fifth.

Yiming Z.

University of Illinois at Urbana-Champaign