Ex 3. For each of the following series, determine the values of x € R for which the series is convergent, and justify your assertion: T Cos nx 1 Σ n² n=1 (1) siang) n=1 ∞ c) Σ(-1)n-12h (x^² + x^) n=1 ∞ n=] nx n² 2

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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Ex 3. For each of the following series, determine the values of x € R for which the series is convergent,
and justify your assertion:
Cos na
n²
T
∞
Σ
n=1
∞
M (1) Σ siang)
n=1
c)
∞
(-1)n-12
(x^² + x^²)
n=1
d)
n=1
nx
n²-2
Transcribed Image Text:Ex 3. For each of the following series, determine the values of x € R for which the series is convergent, and justify your assertion: Cos na n² T ∞ Σ n=1 ∞ M (1) Σ siang) n=1 c) ∞ (-1)n-12 (x^² + x^²) n=1 d) n=1 nx n²-2
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