Project ForgeEngineering Mathematics
Complex Variables
GATE 2013
Medium
For the function f(z)=1/[(2−z)(z+2)], the residue at z=2 is _____
-0.25(± 0.02 accepted)
Explanation
Rewrite f(z)=−1/[(z−2)(z+2)]. The residue at the simple pole z=2 is lim(z→2)(z−2)f(z)=−1/(z+2) evaluated at z=2=−1/4=−0.25.
Source: GATE CH 2013 (2013)
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