Can we expand $e^z$ where $z$ is a complex number same as we expand $e^x$?
2026-04-01 02:03:28.1775009008
Expansion of $e^z$ when $z$ is a complex number.
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Yes we can. Moreover the expansion $$ e^z=\sum_{n=0}^\infty\frac{z^n}{n!} $$ is in fact the definition of the exponential function.