🛠️ JEE➗ Maths

If \(0<x<1\), then \(\frac{3}{2} x^2+\frac{5}{3} x^3+\frac{7}{4} x^4+\ldots\), is equal to [JEE Main 2021, 27 Aug …

If \(0<x<1\), then \(\frac{3}{2} x^2+\frac{5}{3} x^3+\frac{7}{4} x^4+\ldots\), is equal to

[JEE Main 2021, 27 Aug (Shift 1)]

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

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

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

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

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If \(0&lt;x&lt;1\), then \(\frac{3}{2} x^2+\frac{5}{3} x^3+\frac{7}{4} x^4+\ldots\), is equal to [JEE Main 2021, 27 Aug …