JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of

\lim _{n \rightarrow \infty} \sum\limits_{{r=1}}^{r=4 n} \frac{\sqrt{n}}{\sqrt{r}(3 \sqrt{r}+4 \sqrt{n})^2}

is equal to

View answer and explanation

Correct option: C

\frac{1}{10}

Option C (

\frac{1}{10}

) is correct because the limit of the Riemann sum is evaluated by converting it to a definite integral and then solving the integral.

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