7. Tentukan nilai limit dari (sin(x) – cos(x))/(x – π/4) saat x mendekati π/4.
Jawaban: Lim x→π/4 (sin(x) – cos(x))/(x – π/4) = Lim x→π/4 sin(x)/x – Lim x→π/4 cos(x)/(x – π/4) = 1 – (-1/1 – 0) = 2
8. Hitung nilai limit dari sin(2x)/(x – π) saat x mendekati π.
Jawaban: Lim x→π sin(2x)/(x – π) = sin(2π)/(π – π) = 0/0 = 0
9. Tentukan nilai limit dari (tan(x) – x)/(x^2 – πx) saat x mendekati π.
Jawaban: Lim x→π (tan(x) – x)/(x^2 – πx) = Lim x→π tan(x)/(x^2 – πx) – Lim x→π x/(x^2 – πx) = 0/0 – π/(π^2 – π^2) = 0 – π/0 = ∞
