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{{Short description|Expression in mathematical analysis}}
In [[calculus]] and other branches of [[mathematical analysis]], when the [[limit (mathematics)|limit]] of the sum, difference, product, quotient or power of two functions is taken, it may often be possible to simply add, subtract, multiply, divide or exponentiate the corresponding limits of these two functions respectively. However, there are occasions where it is unclear what the sum, difference, product, quotient, or power of these two limits ought to be. For example, it is unclear what the following expressions ought to evaluate to:<ref name=":1" />
:<math>\frac 00,~ \frac{\infty}{\infty},~ 0\times\infty,~ \infty - \infty,~ 0^0,~ 1^\infty, \text{ and } \infty^0 .</math>
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