a) Find Maclaurin series generated by the following function f(x) = e-3x by Test the following series whether converge absolutely or conditionally, 3 1) Σ=1 (1)n+1 2) Σn=1 5+n (-1)+1 (n+1)" (2n)n c) Find the interval of convergence and test the endpoints convergence too. t" 3. n√√n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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a) Find Maclaurin series generated by the following function
f(x) = e-3x
by Test the following series whether converge absolutely or conditionally,
(-1)+1 (n+1)"
1)Σ=1 ( 1)n+1
3
5+n
2) En=1
(2n)n
c) Find the interval of convergence and test the endpoints convergence too.
xh
Σ=1
3". n √√n
Transcribed Image Text:a) Find Maclaurin series generated by the following function f(x) = e-3x by Test the following series whether converge absolutely or conditionally, (-1)+1 (n+1)" 1)Σ=1 ( 1)n+1 3 5+n 2) En=1 (2n)n c) Find the interval of convergence and test the endpoints convergence too. xh Σ=1 3". n √√n
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