Question:medium

The coefficient of \(\dfrac{1}{z}\) in the Laurent's series expansion of the function \[ f(z)=\frac{1}{z^2(1-z)} \] about \(z=0\), is ____.

Show Hint

Remember the standard expansion: \[ \boxed{ \frac1{1-z} = 1+z+z^2+\cdots \qquad(|z|<1) } \] The coefficient of \(\dfrac1z\) in a Laurent series is called the residue at that point.
Updated On: Jul 24, 2026
  • \(-1\)
  • \(0\)
  • \(1\)
  • \(2\)
Show Solution

The Correct Option is C

Solution and Explanation

Was this answer helpful?
0