Σ 1. ( n + 2) (π +3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 43E
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Test for divergence or convergence. Please name test 

Σ
1.
( n + 2) (π +3)
Transcribed Image Text:Σ 1. ( n + 2) (π +3)
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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