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Q.The coefficient of xnx^{n} in the expansion of 1(2x−3)(x−1)2\dfrac{1}{(2x - 3)(x - 1)^2} is

a
2n+2−3⋅2n2^{n+2} - 3 \cdot 2^n
b
3⋅2n+1−3n+13 \cdot 2^{n+1} - 3^{n+1}
c
2n+2+3⋅2n2^{n+2} + 3 \cdot 2^n
d
2n+1−3n+12^{n+1} - 3^{n+1}

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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