Question
Asked Sep 2, 2019
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32. Find the limit of the series: x
(1+x) (+x)
1+x2
A)
B) xx
X+x
C)
(1+x
D)
(1+x)
E) x
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32. Find the limit of the series: x (1+x) (+x) 1+x2 A) B) xx X+x C) (1+x D) (1+x) E) x

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Expert Answer

Step 1

Given series is,

 

 

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1+x (1+x1+x)

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Step 2

Clearly it is a geometric series with,

 

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first term a =x* 1+x 1+x 1 Common ratio =r =

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Step 3

Therefore, by using sum upto infinity of a g...

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a 1-r 1 1+x2-1 /1+x /1+x x(1+x x (1+x) =x +x

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Tagged in

Math

Calculus