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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a>0a>0, then ∑n=1∞(aa+1)n\sum\limits_{n=1}^{\infty}\left(\frac{a}{a+1}\right)^n equals
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Correct option: D
aa
Option D (aa) is correct because the given expression is an infinite geometric series whose sum can be directly calculated using the formula a1−r\frac{a}{1-r}.

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