(a) Determine if the following series is convergent. Find its sum if it is convergent. (-2)³n e 2n n=1 (b) Find n²+1 1 im () (sin ()). Зп-1 2n+1 If it does not exist, explain why.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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a) Find is the series ((-2)^(3n))/e^(2n) is convergent. If so find the sum

 

b) find the lim ((n^2+1)/(3n-1))(sin(1/2n+1))

If the lim dos not exist explain why

(a) Determine if the following series is convergent. Find its sum if it is convergent.
(-2)³n
e 2n
n=1
(b) Find
n²+1
5).
1
im () (sin ()).
Зп-1
2n+1
If it does not exist, explain why.
Transcribed Image Text:(a) Determine if the following series is convergent. Find its sum if it is convergent. (-2)³n e 2n n=1 (b) Find n²+1 5). 1 im () (sin ()). Зп-1 2n+1 If it does not exist, explain why.
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