When |x|>3, then coefficient of \frac{1}{x^n} in the expansion of x^{3 \/ 2}(3+x)^{1 \/ 2} is

Correct Answer is : (−1)n+11⋅3⋅5...(2n+1)2n+2(n+2)!3n+2

(-1)^n \frac{1 \cdot 3 \cdot 5 . . .(2 n-1)}{2^n n!} 3^n

(-1)^{n+1} \frac{1 \cdot 3 \cdot 5 . . .(2 n+1)}{2^{n+2}(n+2)!} 3^{n+2}

(-1)^{n+1} \frac{1 \cdot 3 \cdot 5 . . .(2 n-1)}{2^n n!} 3^{n+1}

(-1)^{n+1} \frac{1 \cdot 3 \cdot 5 . . .(2 n+1)}{2^{n+3}(n+2)!} 3^{n+1}

TG EAMCET 2 May 2025 Shift 2 Paper

Question : 20 of 160

Marks: +1, -0

When |x|>3, then coefficient of ‌

in the expansion of x3∕2(3+x)1∕2 is

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