Lim x menuju 0 cosx-cos 3x per 1-cos 2x .......
Matematika
Maisyaputri2
Pertanyaan
Lim x menuju 0 cosx-cos 3x per 1-cos 2x .......
2 Jawaban
-
1. Jawaban bapakdr
(cos x - cos 3x) / (1 - cos 2x)
= (-2.sin 2x sin -x) / (1 - (1 - sin²x))
= (-2.sin 2x sin -x) / (1 - 1 + sin²x)
= (-2.sin 2x sin -x) / (sin x sin x)
= -2.(2).(-1)
= 4 -
2. Jawaban arsetpopeye
Lim (cos x - cos 3x) / (1 - cos 2x)
= Lim (-2 sin (x + 3x)/2 sin (x - 3x)/2) / (2 sin^2 x)
= Lim (-2 sin 2x sin (-x)) / (2 sin^2 x)
= Lim -2/2 . (sin 2x)/(sin x) . (sin (-x))/(sin x)
= -1 . 2/1 . -1/1
= 2