Multiple choice

Let z = x + iy be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which of the following statements is NOT TRUE?

  1. The residue of $\frac{z}{z^2 - 1}$ at z = 1 is $\frac{1}{2}$.
  2. $\oint_c z^2 dz = 0$
  3. $\frac{1}{2 \pi i}\oint_c \frac{1}{z} dz = 1$
  4. $\bar{z}$(complex conjugate of z) is an analytical function.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Keep practicing — related questions