Limit x mendekati 2 sin (x-2) / x2-4 =

Mapel : Matematika
Kelas : XI SMA
Bab : Limit

Pembahasan :
Lim [x » 2] Sin (x - 2)/(x² - 4)
Lim [x » 2] Sin (x - 2)/(x + 2)(x - 2)
Lim [x » 2] 1/(x + 2) . 1
= 1/(2 + 2)
= 1/4

Lim (sin (x - 2)) / (x^2 - 4)
x=>2

Lim (sin (x - 2)) / (x + 2)(x - 2)
x=>2

Lim (sin (x - 2))/(x - 2) . 1/(x + 2)
x=>2

= 1 . 1/(2 + 2)

= 1/4