## Division by Zero Calculus for Differentiable Functions L'Hôpital's Theorem Versions

**Authors:** Saburou Saitoh

We will give a generalization of the division by zero calculus to differentiable functions and its basic properties. Typically, we can obtain l'Hôpital's theorem versions and some deep properties on the division by zero.
Division by zero, division by zero calculus, differentiable, analysis, Laurent expansion, l'Hôpital's theorem, $1/0=0/0=z/0=\tan(\pi/2) =\log 0 =0, (z^n)/n = \log z$ for $n=0$, $e^{(1/z)} = 1$ for $z=0$.

**Comments:** 10 Pages. Based on the preprint survey paper, we will give a generalization of the division by zero calculus to differentiable functions and its basic properties. Typically, we can obtain l'Hôpital's theorem versions and some deep properties on the division by zero

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### Submission history

[v1] 2020-01-06 17:52:07

**Unique-IP document downloads:** 36 times

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