∞ Σ (tan ¹5k-tan-1 (5k-5)) k=1 ∞ The series Σ (tan k=1 -1 -1 5k - tan (5k- -5)) can be tested for convergence using properties of 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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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.
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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