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\(\text{ The }sum\sum _{n=1}^{\infty }\frac{2{n}^{2}+3n+4}{(2n)!}\text{ is equal to: }\) [JEE Main 2023, 1 Feb (Shift 2)…

Q1

\(\text{ The }sum\sum _{n=1}^{\infty }\frac{2{n}^{2}+3n+4}{(2n)!}\text{ is equal to: }\)

[JEE Main 2023, 1 Feb (Shift 2)]

a

\(\frac{11e}{2}+\frac{7}{2e}\)

b

\(\frac{13e}{4}+\frac{5}{4e}-4\)

c

\(\frac{11e}{2}+\frac{7}{2e}-4\)

d

\(\frac{13e}{4}+\frac{5}{4e}\)

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