$z_0$ be a removable singularity of f . Show that $z_0$ is then a removable singularity of exp ( f ) .
2026-03-27 01:04:14.1774573454
$z_0$ be a removable singularity of f . Show that $z_0$ is then a removable singularity of exp ( f ) .
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Since $z_0 $is a removable singularity of$ f$ that means that the Laurent series of $f$ about$ z_0$ is a Taylor series that is $f=c_0+c_1(z-z_0)+....$ since$ e^f=1+f+\frac{f^2}{2}+....$ Clearly $z_0$ also a removable singularity of $ e^f$.