Assertion $(A) : 1+\frac{2}{3} \cdot \frac{1}{2}+\frac{2 \cdot 5}{3 \cdot 6} \cdot \frac{1}{4}+\frac{2 \cdot 5 \cdot 8}{3 \cdot 6 \cdot 9} \cdot \frac{1}{8}+\ldots \infty = \sqrt[3]{4}$
Reason $(R) : |x| < 1, (1-x)^{-n} = 1+nx+\frac{n(n+1)}{1 \cdot 2} x^2+\frac{n(n+1)(n+2)}{1 \cdot 2 \cdot 3} x^3+\ldots$ The correct answer is

  • A
    $(A)$ and $(R)$ are correct,$(R)$ is the correct explanation of $(A)$
  • B
    $(A)$ and $(R)$ are correct,but $(R)$ is not the correct explanation of $(A)$
  • C
    $(A)$ is correct but $(R)$ is not correct
  • D
    $(A)$ is not correct but $(R)$ is correct

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