LHopitalsRule

L'Hopital's rule | L'Hospital's rule | L'Hôpital's rule (anglický)

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lim
x → a

f(x)

g(x)

lim
x → a

This is a useful rule for finding the limit of a ratio, if both parts of the ratio go to zero at the limit;
eg,

lim
x → 1

x² − 1

x² − 3 x + 2

lim
x → 1

2 x

lim
x → 1

2 x − 3

−1

= −2

This is known as l'Hôpital's rule.

If f(a)=g(a)=0 and g^′ (a) ≠ 0 then

lim
x → a

f(x)

g(x)

f^′(a)

g^′(a)