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Wolfram|Alpha shouldn't assume $x\neq 0$. It shouldn't claim $0/x=0$.

Ethan Wilson

Posted 8 years ago

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When you input 0/x on W\|A, it claims, with no restrictions on $x$, that $0/x=0$. While of course it claims $0/0$ is indeterminate. I'd like it to be more rigorous in this regard. It is typical for W\|A to assume an unspecified letter $x$ is a complex variable. In this case, as always, it should assume $x$ is any complex variable, but it assumes $x\neq 0$, without pointing out the assumption. I'm honestly bothered by this.