Use an appropriate test to determine whether the series converges. 2 Ink Σ k k=2 The series is of the form so by the this series Σf(k) for appropriate f and √ f(x) dx converges, k=2 2 Σa where 0
Use an appropriate test to determine whether the series converges. 2 Ink Σ k k=2 The series is of the form so by the this series Σf(k) for appropriate f and √ f(x) dx converges, k=2 2 Σa where 0
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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Transcribed Image Text:Use an appropriate test to determine whether the series converges.
2 Ink
Σ
k
k=2
The series is of the form
so by the
this series
Σf(k) for appropriate f and
√
f(x) dx converges,
k=2
2
Σa where 0<bк ≤a and Σb diverges,
k=2
ak
k=2
M8
Σak where 0<ak sbk and bk converges,
k=2
k=2
Σf(k) for appropriate f and
k=2
8
f(x) dx diverges
2
00
Σak with lim a 0,
k=2
k-∞
Σak with lim ak = 0,
k=2
k-∞
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