JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The value of

{\left( {0.16} \right)^{{{\log }_{2.5}}\left( {\frac{1}{3} + \frac{1}{{{3^2}}} + \frac{1}{{{3^3}}} + \ldots \infty } \right)}}

, is

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Correct option: C

Option C (4) is correct because the expression simplifies to 4 after evaluating the infinite geometric series and applying logarithmic properties.

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