Use the Integral Test to determine whether the series 4 converges or diverges. n=2 n(Inn)*

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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Use the Integral Test to determine whether the series
4
converges or diverges.
n(Inn)*
Answer
O Diverges;
4
dx cannot be determined
x(Inx)*
00
O Diverges;
4
dx = ∞
x(Inx)*
4
dx =
4
Converges;
x(Inx)*
3(In2)³
4
4
Converges;
x(Inx)4
(In2)³
O Diverges;
4
-dx =
- 00
x(Inx)*
00
O Converges;
4
-dx
4
x(lnx)*
3(In2)³
Transcribed Image Text:Use the Integral Test to determine whether the series 4 converges or diverges. n(Inn)* Answer O Diverges; 4 dx cannot be determined x(Inx)* 00 O Diverges; 4 dx = ∞ x(Inx)* 4 dx = 4 Converges; x(Inx)* 3(In2)³ 4 4 Converges; x(Inx)4 (In2)³ O Diverges; 4 -dx = - 00 x(Inx)* 00 O Converges; 4 -dx 4 x(lnx)* 3(In2)³
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