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
Identify a convergence test for the following series. If necessary, explain how to simplify or rewrite the series before applying the convergence test. You do not need to carry out the convergence test.
![∞
Σ (tan 5k-tan-1(5k-5))
k=1
∞
1
The series (tan ¹5k - tan ¯¹(5k-5)) can be tested for convergence using
k=1
properties of p-series.
the Divergence Test.
the Ratio Test.
properties of telescoping series.
the Limit Comparison Test.
the Alternating Series Test.
properties of geometric series.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fa0ca06-dd60-4896-86b5-5c6179a72eaa%2F8267fffe-7124-4906-a051-03458250b6e9%2F22b7gmh_processed.png&w=3840&q=75)
Transcribed Image Text:∞
Σ (tan 5k-tan-1(5k-5))
k=1
∞
1
The series (tan ¹5k - tan ¯¹(5k-5)) can be tested for convergence using
k=1
properties of p-series.
the Divergence Test.
the Ratio Test.
properties of telescoping series.
the Limit Comparison Test.
the Alternating Series Test.
properties of geometric series.
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