4. Hitung nilai limit dari (sin(x) + x)/x saat x mendekati 0.
Jawaban: Lim x→0 (sin(x) + x)/x = Lim x→0 sin(x)/x + Lim x→0 x/x = 0 + 1 = 1
5. Tentukan nilai limit dari cos(x)/(1 – cos(x)) saat x mendekati 0.
Jawaban: Lim x→0 cos(x)/(1 – cos(x)) = Lim x→0 cos(x)/(1 – cos(x)) × (1 + cos(x))/(1 + cos(x)) = Lim x→0 1 + cos(x)/(1 – cos^2(x)) = Lim x→0 1 + cos(x)/sin^2(x) = 1
6. Hitung nilai limit dari tan(x)/cos(x) saat x mendekati π/4.
Jawaban: Lim x→π/4 tan(x)/cos(x) = tan(π/4)/cos(π/4) = 1/1 = 1