Question:medium

The coefficient of \(x^3\) in the power series expansion of \[ \frac{x}{x^2-x-2} \] is

Show Hint

For power series expansions of rational functions, first use partial fractions. Then convert each fraction into a geometric series and extract the required coefficient.
Updated On: Jul 29, 2026
  • \(-\dfrac{1}{8}\)
  • \(-\dfrac{3}{8}\)
  • \(\dfrac{3}{8}\)
  • \(\dfrac{1}{8}\)
Show Solution

The Correct Option is B

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