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...
icon
Related questions
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning