# What is the Radius of Convergence for this **power series**? #ln(1-z) = - z - 1/2 z^2 - 1/3 z^3 ...#

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Answer key says: #abs z < 1#

And:

#z = x + iy#

Answer key says:

And:

##### 1 Answer

Mar 16, 2017

#### Explanation:

but

now making the substitution

so it is convergent for