Does each of the following series converge or diverge? Why? Show all your work and MUST include the name of the convergence test you are using. (Your best three answers will be counted toward your grade. The 4th will be for extra credit) Recall: Here is a list of convergence test we have learned so far: I: Test of Divergence (or Divergence Test) II Integral Test III Direct/Limit Comparison Test IV Alternating Series Test(AST) V Well-known series V(a) Geometric Series V(b) p-Series ∞ (b) Σne-ni n=3 ∞ √√n² + 1 n² +5 (c) n=1 (d) n=1 2n2 +1 3+8n2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please answer parts b, c, and d

Does each of the following series converge or diverge? Why? Show
all your work and MUST include the name of the convergence test you
are using. (Your best three answers will be counted toward your grade. The
4th will be for extra credit)
Recall: Here is a list of convergence test we have learned so far:
I: Test of Divergence (or Divergence Test)
II Integral Test
III
Direct/Limit Comparison Test
IV Alternating Series Test(AST)
V Well-known series
V(a) Geometric Series
V(b) p-Series
Transcribed Image Text:Does each of the following series converge or diverge? Why? Show all your work and MUST include the name of the convergence test you are using. (Your best three answers will be counted toward your grade. The 4th will be for extra credit) Recall: Here is a list of convergence test we have learned so far: I: Test of Divergence (or Divergence Test) II Integral Test III Direct/Limit Comparison Test IV Alternating Series Test(AST) V Well-known series V(a) Geometric Series V(b) p-Series
∞
(b) Σne-ni
n=3
∞
√√n² + 1
n² +5
(c)
n=1
(d)
n=1
2n2 +1
3+8n2
Transcribed Image Text:∞ (b) Σne-ni n=3 ∞ √√n² + 1 n² +5 (c) n=1 (d) n=1 2n2 +1 3+8n2
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