JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

\lim\limits_{x\, \to \,2} \left( {\sum\limits_{n\, = \,1}^9 {\frac{x}{{n\left( {n + 1} \right){x^2} + 2\left( {2n + 1} \right)x + 4}}} } \right)

is equal to

View answer and explanation

Correct option: A

\frac{9}{{44}}

Option A (

\frac{9}{{44}}

) is correct because it is the value of the limit after simplifying the summation using partial fractions.

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