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4 exercise(s) shown, 0 hidden
Apr 21'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Find a geometric proof for [math]1+x+x^2+\ldots=1/(1-x)[/math].

Apr 21'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Clarify the definition and properties of [math]x^y[/math], with [math]x,y\in\mathbb C[/math].

Apr 21'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Complete our proof of the Cauchy formula, in the general case.

Apr 21'25
[math] \newcommand{\mathds}{\mathbb}[/math]

This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion.

Learn more complex analysis, including the residue formula.