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Limits Continuity and Differentiability question

2021 · 26 Aug · Shift 2 · Q38

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 26 Aug · Shift 2 · Q38

Limits Continuity and Differentiability question

2021 · 26 Aug · Shift 2 · Q38

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

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

is equal to :

A
${9 \over {44}}$
B
${5 \over {24}}$
C
${1 \over 5}$
D
${7 \over {36}}$

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