UNIVERSITYFind the value(s) of a such that >,(In(n))"is convergentofAnswer:pageEVIOUS ACTIVITYomeNork 1

Given that, ∑n=2∞lnnan By using the integral test, ∫2∞lnnandn It can be written as, ∫2∞1nlnnadn

Answered: (In(n))" 00 Find the value(s) of a such…

Math

Calculus

(In(n))" 00 Find the value(s) of a such that 2 is convergent T2 Answer:

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 8E

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Question

UNIVERSITY
Find the value(s) of a such that >,
(In(n))"
is convergent
of
Answer:
page
EVIOUS ACTIVITY
omeNork 1

Expert Solution

Step 1

Given that,

$\sum_{n = 2}^{\infty} \frac{{(\ln (n))}^{a}}{n}$

By using the integral test,

$\int_{2}^{\infty} \frac{{(\ln (n))}^{a}}{n} d n$

It can be written as,

$\int_{2}^{\infty} \frac{1}{n} {(\ln (n))}^{a} d n$

Step by step

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