64 662
Assignments Done
99,2%
Successfully Done
In September 2018

Answer to Question #16929 in Complex Analysis for toota

Question #16929
consider the series S(z)=(sum from n=1 to infinity) sin(z)/n^2 (1+cos(piz))
a) prove that this series does not converge uniformly on C.
Expert's answer
S(z)=(sum from n=1 to infinity) sin(z)/n^2 (1+cos(piz))
|Fn(x)-F(x)|<e->0
n-> sin(z)/n^w(1+cos(piz)), so at n=0 it goes to infinity.
That means, there is no uniform converging.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions