(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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.
Transcribed Image Text:(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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