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\(\lim _{x\to 2}\left(\sum _{n=1}^{9}\frac{x}{n(n+1){x}^{2}+2(2n+1)x+4}\right)\)is equal to: [JEE Main 2021, 26 Aug (Shi…

Q1

\(\lim _{x\to 2}\left(\sum _{n=1}^{9}\frac{x}{n(n+1){x}^{2}+2(2n+1)x+4}\right)\)is equal to:

[JEE Main 2021, 26 Aug (Shift 2)]

a

\(\frac{9}{44}\)

b

\(\frac{5}{24}\)

c

\(\frac{7}{36}\)

d

\(\frac{1}{5}\)

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