Teaching UP B.Ed (Paper 1 & 2) Mock Test 2025 Engineering Mathematics Complex Variables Cauchy's Integral Theorem

The value of the integral \(\displaystyle \oint_{|1-z|=1} \frac{e^{z}}{z^{2}-1} d z\) is

1
0
2
(πi)e
3
(πi)e - (πi)e-1
4
(e + e-1)
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