3. Mark the following as true or false. If false, explain why. a a. For a geometric series, the sum is for |r|21 1-r b. If the lim Sn 5, Σ α, diverges c. If lim an = 0,2an converges %3D d. if Σan 3, then lim an = 0

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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For questions (a), (b), (c), and (d) mark true or false and explain why.

3. Mark the following as true or false. If false, explain why.
а
a. For a geometric series, the sum is for Ir|>1
1-r
b. If the lim sn = 5, £ an diverges
n→∞
c. If lim an =
0, 2 an converges
d. If E an = 3, then lim an = 0
Transcribed Image Text:3. Mark the following as true or false. If false, explain why. а a. For a geometric series, the sum is for Ir|>1 1-r b. If the lim sn = 5, £ an diverges n→∞ c. If lim an = 0, 2 an converges d. If E an = 3, then lim an = 0
Expert Solution
Step 1

a.

False,For a geometric series, the sum is ar-1 for r<1if r1 then geometric series is divergent ,So sum is not exist.

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