Q58 / 160 · AP EAMCET 2025 (23 MAY SHIFT 1) · Mathematics

If $-\frac{2}{3} < x < \frac{2}{3}$, then the value of the $5^{\text {th }}$ term in the expansion of $\frac{1}{\sqrt[3]{2-3 x}}$ when $x=\frac{1}{2}$ is

  • A
    $\frac{35}{256(\sqrt[3]{2})}$
  • Correct answer
    B
    $\frac{35}{768(\sqrt[3]{2})}$
  • C
    $\frac{7}{768(\sqrt[3]{2})}$
  • D
    $\frac{105}{256(\sqrt[3]{2})}$

Hence, the correct answer is option: 'B'.

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