Consider the sequences ап = ✓ and bn (−1)"-1 = √n Complete the following steps: A. Calculate limn→∞ an⋅ B. Does the series Σn-1 an converge? Explain why or why not. C. Calculate limn→∞ bn. D. Does the series Σ n=1 bn converge? Explain why or why not.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the...
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Consider the sequences
ап
=
✓ and bn
(−1)"-1
=
√n
Complete the following steps:
A. Calculate limn→∞ an⋅
B. Does the series Σn-1 an converge? Explain why or why not.
C. Calculate limn→∞ bn.
D. Does the series Σ n=1 bn converge? Explain why or why not.
Transcribed Image Text:Consider the sequences ап = ✓ and bn (−1)"-1 = √n Complete the following steps: A. Calculate limn→∞ an⋅ B. Does the series Σn-1 an converge? Explain why or why not. C. Calculate limn→∞ bn. D. Does the series Σ n=1 bn converge? Explain why or why not.
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