Question:medium

The residue of $f(z) = e^{-1/z}$ at $z = 0$ is}

Show Hint

For functions with essential singularities (like $e^{k/z}$), standard derivative formulas for residues do not apply.
The easiest approach is to expand the function using Laurent series and identify the coefficient of the $1/z$ term directly.
Updated On: Jul 6, 2026
  • 0
  • $-1$
  • 1
  • $\frac{1}{2}$
Show Solution

The Correct Option is B

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