# Division by zero? [closed]

Does 2/0 equal 2/0 ?

Thank you.

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You're not clear enough. –  Marra Aug 8 '13 at 12:31
$\lim_{x\to 1^+}\frac{2x}{x-1}\neq \lim_{x\to 1^-}\frac{2x}{x-1}$ –  B. S. Aug 8 '13 at 12:33
No man has $2$ heads. One man has $1$ more head than no man ($0$ man), hence $3$ heads. –  Dietrich Burde Aug 8 '13 at 12:33
@user89544 Everyone will take it seriously if you provide enough background. –  pranitkothari Aug 8 '13 at 12:50

## closed as unclear what you're asking by Tobias Kildetoft, Zev Chonoles, YACP, Cameron Buie, DonAntonioAug 8 '13 at 12:51

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$\dfrac 20 = \dfrac 20$, only in the sense that if $P$ is undefined, then $P$ is equal to $P$, which like $P$, is undefined.
To be clear, $\dfrac 20$ is undefined, since division by zero is undefined.
By that reasoning does $\infty = \infty$ ? –  skullpatrol Aug 8 '13 at 12:39
@skullpatrol: Arguably, that follows from the reflexivity of equality. Why shouldn't it be true that $$\quad\heartsuit\!\!\!\boxtimes\!\!\!\!\!\Large\rbrace\!\!\!@ \normalsize=\heartsuit\!\!\!\boxtimes\!\!\!\!\!\Large\rbrace\!\!\!@ \normalsize\quad ?$$ –  Zev Chonoles Aug 8 '13 at 12:46
$\infty$ is not any number and so is $-\infty$. not any number = not any number, therefore $\infty = -\infty$ ? –  skullpatrol Aug 8 '13 at 13:12