JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

\left(\frac{a-b}{a}\right)+\frac{1}{2}\left(\frac{a-b}{a}\right)^2+\frac{1}{3}\left(\frac{a-b}{a}\right)^3+\ldots=

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Correct option: B

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

Option B (log_a(a/b)) is correct because the given series is a logarithmic series and can be simplified to log_e(a/b).

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