Lim x(√x+4 - 2) x->0 ----------------- = 1 - cos x

Bab Limit
Matematika SMA Kelas XI

Lim ((x (√(x + 4) - 2)) / (1 - cos x))
x→0

= Lim ((x (x + 4 - 4) . (1 + cos x)) / ((1 - cos² x) ((√(x + 4) + 2)
...x→0

= lim (x² . (1 + cos x) / ((sin² x (√(x + 4) + 2))
...x→0

= (1 + 1) / (√(4) + 2)
= 2 / (2 + 2)
= 1/2