For R > 1, let CR be the circle |z| = R. Estimate
Z
CR
z
2 − 1
(z
2 + 1)2
dz
in terms of R and show that the integral tends to 0 as R → ∞.
Mathbot Says...
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.
For R > 1, let CR be the circle |z| = R. Estimate
Z
CR
z
2 − 1
(z
2 + 1)2
dz
in terms of R and show that the integral tends to 0 as R → ∞.
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.