JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\lim \limits_{{n \rightarrow \infty}} \frac{1}{n} \sum\limits_{{j=1}}^n \frac{(2 j-1)+8 n}{(2 j-1)+4 n}

is equal to:

View answer and explanation

Correct option: D

1+2 \log _e\left(\frac{3}{2}\right)

Option D (

1+2 \log _e(\frac{3}{2})

) is correct because it is the result of evaluating the limit by converting it to a definite integral and solving the integral.

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