Determine whether The given series M8 k=2 ខណៈ k=2 1 √k-1 1 √k-1 converges using the Comparison Test with the comparison series because 1 √k-1 for k22 and the series M8 k=2 M8 k=2 1 √K 1 √k by the Divergence Test. properties of geometric series. properties of telescoping series. properties of the p-series.
Determine whether The given series M8 k=2 ខណៈ k=2 1 √k-1 1 √k-1 converges using the Comparison Test with the comparison series because 1 √k-1 for k22 and the series M8 k=2 M8 k=2 1 √K 1 √k by the Divergence Test. properties of geometric series. properties of telescoping series. properties of the p-series.
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
Determine whether this series converges.
![∞
Determine whether Σ converges using the Comparison Test with the comparison series >
Σ
k=2
k=2
8
The given series Σ
k=2
1
√k-1
1
√k-1
because
1
√k -1
for k≥ 2 and the series >
k=2
∞
-145
-|
1
by the
Divergence Test.
properties of geometric series.
properties of telescoping series.
properties of the p-series.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F162cd3e7-20fe-4b15-b054-73327c670c5f%2F26635f11-ce17-4140-bdd9-c58bb1d921f7%2Fjlo9iz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:∞
Determine whether Σ converges using the Comparison Test with the comparison series >
Σ
k=2
k=2
8
The given series Σ
k=2
1
√k-1
1
√k-1
because
1
√k -1
for k≥ 2 and the series >
k=2
∞
-145
-|
1
by the
Divergence Test.
properties of geometric series.
properties of telescoping series.
properties of the p-series.
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