lim x - 4 x->4 -------------------- 1 - √ x - 3 tolong pake cara yang panjang dan jgn pke cara pendek

Kelas 11 Matematika
Bab Limit

Lim ((x - 4)/(1 - √(x - 3))
x→4

= lim ((x - 4)/(1 - √(x - 3)) . ((1 + √(x - 3))/(1 + √(x - 3))
  x→4

= lim ((x - 4) (1 + √(x - 3)) / (1² - √(x - 3)²)
   x→4

= lim ((x - 4) (1 + √(x - 3)) / (1 - x + 3)
  x→4 

= lim (- (4 - x) (1 + √(x - 3)) / (4 - x)
   x→ 4

= - (1 + √(4 - 3))
= - (1 + √1)
= - (1 + 1)
= -2