1. Nilai limit x→1 , √x - √ 2x - 1 / x - 1 adalah... A. 1/2 B. - 1/2 C. 1 D. -1 E. 0 2. Nilai limit x → 0 , 1 - cos 2x / x kuadrat =... A. 1 /4 B. 1/2 C. 3/2

Limit

1) lim(x->1)  {√x - √(2x-1)} /(x - 1)
= lim(x->1)  {√x - √(2x-1)}{√x + √(2x-1) / {(x-1) (√x  + √(2x-1)}
= lim(x->1)  {x - (2x-1)}  / (x-1)(√x + √(2x-1)}
= lim(x->1)  {1- x} / (x-1)(√x + √(2x-1))
= lim(x->1)  -1/ {√x + √(2x-1)}
x= 1
= -1/  {√1 + √(2-1)}
= - 1/(1 +1)
= - 1/2

2. lim (x->0) (1 - cos 2x) /x²
= lim(x->0)  ( 2 sin² x)/ (x²)
x = 0
= 2x²/x²
= 2
..