Hitunglah nulai limit fungsi berikut A. Lim x → phi/4 Cos 2x/ cos x - sin x B. Lim x → 0 Cos x cos 3x / 1 - cos 2x
Matematika
Wendy00
Pertanyaan
Hitunglah nulai limit fungsi berikut
A. Lim x → phi/4
Cos 2x/ cos x - sin x
B. Lim x → 0
Cos x cos 3x / 1 - cos 2x
A. Lim x → phi/4
Cos 2x/ cos x - sin x
B. Lim x → 0
Cos x cos 3x / 1 - cos 2x
1 Jawaban
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1. Jawaban DB45
Limit bentuk 0/0
a. lim(x-> pi/4) (cos 2x )/(cos x -sin x)
= lim(x->pi/4) (cos x + sin x)(cos x - sin x)/(cos x -sin x)
= lim(x->pi/4) cos x + sin x
= cos pi/4 + sin pi/4
= 1/2 √2 + 1/2 √2
= √2
b. lim(x->0) (cos 3x cos x) /(1- cos 2x)
x =0
= (cos 0. cos 0)/ (1 - cos0)
= (1)(1) / (1 - 1)
= 1/0
= ∞