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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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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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