Question

1. lim 1-cos 2x / 1-cos 4x
x⇒0
2. lim x^2-5x+6 / x-2
x⇒2
3. (fФg) (x) = 4x^2+10+11
g(x) = 2x+3,maka nilai f(2) adalah..

Answer 1

1. lim (1 - (1 - 2sin² x))/(1 - (1 - 2sin² 2x))
x->0
= lim (2sin² x)/(2sin² 2x)
x->0
= x²/4x²
= 1/4

2. lim (x - 2)(x - 3)/(x - 2)
x->2
= lim x - 3
x->2
= 2 - 3
= -1

3. f(2x + 3) = 4x² + 10x + 11
f(2) terjadi saat x = -1/2
f(2) = 4(1/4) - 5 + 11 = 7