If $ y=x+x^{2}+x^{3}+\cdots \infty $, then $ x= $

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

y=x+x^{2}+x^{3}+\cdots \infty

, then

x=

View answer and explanation

Correct option: A

\frac{y}{1+y}

Option A (

\frac{y}{1+y}

) is correct because, given the infinite GP for y, x can be expressed as this fraction.

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