M417
Fall 1996
hw8.tex due October 25, 1996
Using anything that you know to find the radius of convergence. You need not find the coefficients!
1.
tan(z) = ∑
n=0
∞
a
n
z
n
, |z| < ?.
2.
\operatornameLog(z) = ∑
n=0
∞
a
n
(z−1)
n
, |z−1| < ?
3.
\operatornameArctan(z) = ∑
n=0
∞
a
n
z
n
, |z| < ?
4.
\operatornameLog(z) = ∑
n=0
∞
a
n
(z−2i)
n
, |z−2i| < ?
5.
[1/(1 +z
2
)] = ∑
n=0
∞
a
n
(z−3)
n
, |z−3| < ?
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On 06 Feb 2017, 13:19.