If 0 < x < 1, then \frac{3}{2} x^{2}+\frac{5}{3} x^{3}+\frac{7}{4} x^{4}+....., is equal to [27 Aug 2021 Shift 1]

Correct Answer is : x(1+x1−x)+loge(1−x)

x(\frac{1+x}{1-x})+\log _{e}(1-x)

x(\frac{1-x}{1+x})+\log _{e}(1-x)

JEE Main 27-Aug-2021 Shift 1 Solved Paper

Section: Mathematics

Question : 61 of 90

Marks: +1, -0

If 0<x<1, then

x2+

x3+

x4+....., is equal to

[27 Aug 2021 Shift 1]

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