(a) Find the sum of the series k=1 3k+1 22k Simplify your answer.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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∞
1. Σ
k=1
∞
(a) Find the sum of the series
Simplify your answer.
(b) Determine whether the following series converges or diverges. No matter which test you use,
please be sure to state the name of the test, and write down what you are doing as you check
all the things you need to check.
(-3)2k+1
(k+2)!
3k+1
22k
ii. Σ
k=2
k+ln(k) + cos² (k) + 2
2k2 + k + 1
Transcribed Image Text:∞ 1. Σ k=1 ∞ (a) Find the sum of the series Simplify your answer. (b) Determine whether the following series converges or diverges. No matter which test you use, please be sure to state the name of the test, and write down what you are doing as you check all the things you need to check. (-3)2k+1 (k+2)! 3k+1 22k ii. Σ k=2 k+ln(k) + cos² (k) + 2 2k2 + k + 1
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