Radius of Convergence : Summations and Power Series
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Please see the attached file for full problem description.
a) Evaluate
b) What is the radus of convergence ....
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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?
https://brainmass.com/math/real-analysis/radius-convergence-summations-power-series-24436
Solution Preview
See attachment please!
a. Evaluate and
Solution. (1) By a formula for n-th derivative
we know that
if ; otherwise, since is analytic at .
. ...
Solution Summary
Convergenc of series is investigated. The solution is detailed and well-presented.
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