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Question: Answered & Verified by Expert
The values of $x$ for which $\frac{x}{(x-1)^2(x-2)}$ has an expansion and the coefficient of $x^n$ in such expansion are respectively
MathematicsBinomial TheoremAP EAMCETAP EAMCET 2017 (25 Apr Shift 2)
Options:
  • A $|x| < 1,1-n-\frac{1}{2^n}$
  • B $|x| < 2,1-n-\frac{1}{2^n}$
  • C $|x| < 1,0$
  • D $x \in \mathbb{R}, 1-n-\frac{1}{2^n}$
Solution:
2280 Upvotes Verified Answer
The correct answer is: $|x| < 1,1-n-\frac{1}{2^n}$
No solution. Refer to answer key.

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