Let f be the function defined by f(x) = In(x) (a) Evaluate the integral below or show that the integral diverges. Be sure to use proper notation. f(x) dx

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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In(x)
Let f be the function defined by f(x) =
(a) Evaluate the integral below or show that the integral diverges. Be sure to use proper notation.
f(x) dx
(b) Use the result of the previous part to determine whether the series below converges or diverges. State and
check the conditions of the test used for determining convergence or divergence.
00 In(n)
n=3
Transcribed Image Text:In(x) Let f be the function defined by f(x) = (a) Evaluate the integral below or show that the integral diverges. Be sure to use proper notation. f(x) dx (b) Use the result of the previous part to determine whether the series below converges or diverges. State and check the conditions of the test used for determining convergence or divergence. 00 In(n) n=3
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