JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum of the series

\frac{1}{2}{x^2} + \frac{2}{3}{x^3} + \frac{3}{4}{x^4} + \frac{4}{5}{x^5} + \ldots

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because the series can be rewritten and simplified using known series expansions.

More Questions from SEQUENCE OF SERIES

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A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

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a,x,b

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{x^2},{b^2},{y^2}

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\log \left(\frac{a}{3 b}\right)

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\frac{3}{4}