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JEE MATHEMATICS MCQ: PERMUTATIONS

1 Hard

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Analyzing +4 | -1

\lim\limits_{n \to \infty } \frac{{\sum\limits_{1 \leqslant i} {\sum\limits_{ \leqslant j \leqslant n} {\left( {i + 1} \right)\left( {j + 1} \right)} } }}{{{n^4}}}

is equal to

View answer and explanation

Correct option: C

\frac{1}{8}

Option C (

\frac{1}{8}

) is the correct answer because the limit of the given expression as n approaches infinity is

\frac{1}{8}

.

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