Test for divergence or convergence. Please name test Σ1.( n + 2) (π +3)

Answered: Σ 1. ( n + 2) (π +3)

Math

Advanced Math

Σ 1. ( n + 2) (π +3)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Test for divergence or convergence. Please name test

Expert Solution

Step 1

In order to check the given series is convergent or divergent use logarithmic test, which is given below.

a,
lim nlog 4n =l
if 1>1 then series is convergent
if 1<1 then series is divergent.
if 1 =1 then test fail.

Step 2

a,
Now first evaluate
(n+3)(n+4)
(n-1)
(n+2)(n+3)
a,
ap-1
(п-1)(п+4)
(n+2)n

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