Apa itu Aturan L'hospital? + Contoh

Apa itu Aturan L'hospital? + Contoh
Anonim

Peraturan l'Hopital

Jika # {(lim_ {x to a} f (x) = 0 dan lim_ {x to a} g (x) = 0), (atau), (lim_ {x to a} f (x) = pm infty dan lim_ {x ke a} g (x) = pm infty):} #

kemudian

#lim_ {x to a} {f (x)} / {g (x)} = lim_ {x to a} {f '(x)} / {g' (x)} #.

Contoh 1 (0/0)

#lim_ {x to 0} {sinx} / x = lim_ {x to 0} {cosx} / 1 = {cos (0)} / 1 = 1/1 = 1 #

Contoh 2 (# infty #/# infty #)

#lim_ {x hingga infty} {x} / {e ^ x} = lim_ {infty} {1} / {e ^ x} = 1 / {e ^ {infty}} = {1} / {infty} = 0 #

Saya harap ini bermanfaat.