L'Hopital's rule

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L'Hôpital's Rule is a method in differential calculus for calculating the limit of a quotient of two functions wherein the entire expression approaches an indeterminate form (e.g. 0/0, infinity/infinity). In the event that this is the case, the limit is said to be equal to the limit of the quotient of the first derivatives of the two functions. Should this also yield an indeterminate form, the process is repeated until a meaningful result is obtained.[1]

Not to be confused with the quotient rule, L'Hospital's rule only takes the derivatives of the top and bottom functions. If a top and a botton function cannot be explicitly recognized, one may use L'Hospital's rule by using the one over the reciprocal rule.

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