Toronto Math Forum
MAT334-2018F => MAT334--Tests => Quiz-2 => Topic started by: Victor Ivrii on October 05, 2018, 06:12:30 PM
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Find all points of continuity of the given function:
\begin{equation*}(z)=(1-|z|^2)^{-3}.
\end{equation*}
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Since\begin{equation*} |z|^2=x^2+y^2\end{equation*},
then \begin{equation*}g(z)= \frac{1}{[1-(x^2+y^2)]^3}\end{equation*}
Hence, g(z) is not continuous at all points of circle \begin{equation*}x^2+y^2=1\end{equation*}