Value of integral \(\rm \mathop \oint \limits_c \frac{{f\left( z \right)}}{z}dz\), if \(\rm f\left( z \right) = a + \frac{b}{z}\) and the contour \(\rm c\) is \(\rm |z| = 1\)

1
0
2
2πi(1 + a)
3
2πai
4
2πbi

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