Computing contour integrals

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Reference no: EM13128887

Let C denote the circle |z| = 1, taken counterclockwise, and use the following steps to show that

int(exp(z + 1/z) dz) = i2pie sum(1/ (n!(n + 1)!)

1) By using maclaurin series for e^z write the above integral as

sum(1/n! int(z^n exp(1/z) dz) )

2) Apply cauchy's residue theorem to evaluate the integrals above.

Reference no: EM13128887

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