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radius of convergence

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radius of convergence

The statement

"For |x-x0| = r no general statements can be made, except that there
always exists at least one complex number x with |x-x0| = r such that
the series diverges."

is clearly wrong, and should be reduced simply to

"For |x-x0| = r no general statements can be made."

As a counterexample consider the power series with general term
x^n /(n+1)^2, for which r = 1 and that converges everywhere on the
circle of convergence (it even converges absolutely).

Parting words from the person who closed the correction: 
The statement "For |x-x0| = r no general statements can be made, except that there always exists at least one complex number x with |x-x0| = r such that the series diverges." is clearly wrong, and should be reduced simply to "For |x-x0| = r no ge
Status: Accepted
Reference to the user who closed the correction.: 
Reference to the article this correction is about: 
Status of the article (was it accepted?): 
1
Status of the article (is it closed?): 
1
What kind of correction is this: 
Error

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