Show all relevant work in determining the convergence (absolute, conditional or divergence) k + 2 of the series (-1)*+1 ( ; k2 + k k=1 21(x + 1)* k2k Find the radius of convergence and interval of convergence of the following k=1
Show all relevant work in determining the convergence (absolute, conditional or divergence) k + 2 of the series (-1)*+1 ( ; k2 + k k=1 21(x + 1)* k2k Find the radius of convergence and interval of convergence of the following k=1
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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Question
![a)
Show all relevant work in determining the convergence (absolute, conditional or divergence)
k +2
of the series (-1)k+1
k2 + k
k=1
b)
21(x + 1)*
k2k
Find the radius of convergence and interval of convergence of the following
k=1
IM:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75331976-4a04-42cb-abe7-614d4ce19262%2Fd9ea8fdc-9142-49bf-aa8c-aeb277c41f67%2Fy7t762k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a)
Show all relevant work in determining the convergence (absolute, conditional or divergence)
k +2
of the series (-1)k+1
k2 + k
k=1
b)
21(x + 1)*
k2k
Find the radius of convergence and interval of convergence of the following
k=1
IM:
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
solution:- the given sequence is
Step 2
here we will use comparison test.
by comparison test
Suppose that we have two series with for all n and for all n. Then,
a) If is convergent then so is .
b) If is divergent then so is
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Solved in 3 steps
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