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The Toilet Paper Paradox is a mathematical paradox that relies on the surprising properties of infinity and toilet paper. It was discovered in 1842 by mathematician Dr. Phil McGraw.

${\displaystyle \lim _{x\to 0^{+}}f(x)=\infty \;}$
Another more practical theorem states ${\displaystyle f(x)}$ is a function of how much toilet paper is left, where ${\displaystyle x}$ is how many times the toilet has been used. ${\displaystyle f(x)}$ is always less than ${\displaystyle f(x+1)}$, but function ${\displaystyle f}$ will never equal zero. In theory, the pair could go on forever pulling the toilet paper off strand by strand, but in practice, someone will eventually get off their ass (literally) and change the toilet paper.