In calculus, the expressions

*others?*]

are **indeterminate forms**; if *f*(*x*) and *g*(*x*) both approach 0 as *x* approaches some number, or *x* approaches ∞ or − ∞, then

*f*and

*g*are; similar remarks are true of the other indeterminate forms displayed above. For example,

*x*approaches into either of these functions leads to the indeterminate form 0/0, but both limits actually exist and are 1 and 14 respectively.

The indeterminate form does not imply the limit does not exist. Algebraic elimination or applying L'Hopital's rule can be used to simplify the expression so the limit can be more easily and actually evaluated.

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