Radius of Convergence : Summations and Power Series
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b) What is the radus of convergence ....
To what simple function does this series converge?
c) Is f(z)=...
analytic near z= -1? and expand f(z)=
in a power series near z= -1 can we predict the domain of convergence from the outset?
See attachment please!
a. Evaluate and
Solution. (1) By a formula for n-th derivative
we know that
if ; otherwise, since is analytic at .
Convergenc of series is investigated. The solution is detailed and well-presented.