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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Fall 1993 • Question 9

Question

Math 6210 • Real Analysis Fall 1993 • Question 9

Evaluate \[ \int _{\Gamma }\frac {e^z}{z^3}\,dz \] where \(\Gamma \) is a positively oriented simple unit circle \(\{z:|z|=1\}\).

Raw LaTeX

Evaluate
\[
\int_{\Gamma}\frac{e^z}{z^3}\,dz
\]
where \(\Gamma\) is a positively oriented simple unit circle \(\{z:|z|=1\}\).

Topic Tags

Lebesgue Integration