Examine the convergence of the series : (i) 1+x 00 1+ x3 (а + 1) (2а + 1) , (а + 1) (2а + 1) (За + 1) (b + 1) (2b + 1)' (b + 1) (2b + 1) (3b + 1) ... 1 +x2 a + 1 (ii) 1 + 6 + 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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solve only 1first , by ratio test

Examine the convergence of the series:
(i)
1 +x
+ ..
1 + x² 1+x3
(a + 1) (2a + 1)
(b + 1) (2b + 1)
(a + 1) (2a + 1) (3a + 1)
(b + 1) (2b + 1) (3b + 1)
a +1
(ii) 1 +
b + 1
Transcribed Image Text:Examine the convergence of the series: (i) 1 +x + .. 1 + x² 1+x3 (a + 1) (2a + 1) (b + 1) (2b + 1) (a + 1) (2a + 1) (3a + 1) (b + 1) (2b + 1) (3b + 1) a +1 (ii) 1 + b + 1
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