bntuin pr ini ya kakk

6) Lim (1 - cos^2 x)/(x^2 cot (x - π/3))
= Lim (sin^2 x)/(x^2 cot (x - π/3))
= Lim (sin x)/x . (sin x)/x . 1/(cot (x - π/3))
= 1 . 1 . 1/(cot (0 - π/3)
= 1/cot (-π/3)
= tan (-π/3)
= - Tan π/3
= -√3

7) Lim (x^2 + x - 2) sin (x - 1) / (x^2 - 2x + 1)
= Lim (x + 2)(x - 1) sin (x - 1) / (x - 1)(x - 1)
= Lim (x + 2) . (x - 1)/(x - 1) . (sin (x - 1))/(x - 1)
= (1 + 2) . 1 . 1
= 3

8) ingat : sin (90° - x) = cos x
Lim 4(x - π) cos^2 x / π(π - 2x) Tan (x - π/2)
= Lim 4(x - π) . sin^2 (π/2 - x) / 2π(π/2 - x) Tan (x - π/2)
= Lim 4(x - π)/2π . (sin (π/2 - x)/(π/2 - x) . (sin (π/2 - x))/(Tan (x - π/2))
= 4(π/2 - π)/2π . 1 . -1
= 4(-π/2) / 2π . -1
= (-2π)/2π . -1
= 1