Hello, please help me with these questions on the image. (a) Evaluatearctan (-).lim n(b) Find the sum of the series1+ 2"+1Σ3"n=1(c) Test the series2020"n!n=1for convergence.

(a) Using arctanx=x-x33+x55-x77+......... So, arctan1n=1n-13n3+15n5-17n7+......... So, limn→∞n…

Answered: (a) Evaluate lim n arctan (b) Find the…

(a) Evaluate lim n arctan (b) Find the sum of the series 1+ 2"+1 3" n=1 (c) Test the series 2020" n! n=1 for convergence.

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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Question

Hello, please help me with these questions on the image.

(a) Evaluate
arctan (-).
lim n
(b) Find the sum of the series
1+ 2"+1
Σ
3"
n=1
(c) Test the series
2020"
n!
n=1
for convergence.

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