Maeckes logo

<    1      2    >

L'Hôpitals rule

The limit of a quotient can be calculated with L'Hôpital's rule

when the function is indeterminate in that point.



We start from the function

of which we have found that in the point a this function is indeterminate. We approach this point as a limit, so

This can be simplefied to

We play with the differentials du and dv, that gives

That looks like hocus pocus, but it shows directly what l'Hôpitals rule is all about



The name of this rule is a tribute to the French mathematician Guillaume de l'Hôpital (1661 - 1704).

Deutsch   Español   Français   Nederlands