ada yang bisa bantu saya kah?soal limit trigonometri..trimakasih sebelumnya
Matematika
zalfa137
Pertanyaan
ada yang bisa bantu saya kah?soal limit trigonometri..trimakasih sebelumnya
1 Jawaban
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1. Jawaban arsetpopeye
8) Lim (1 - cos x)/(3x sin x)
= Lim (2 sin^2 1/2 x)/(3x sin x)
= Lim 2 . (sin 1/2 x)/(3x) . (sin 1/2 x)/(sin x)
= 2 . (1/2)/3 . (1/2)/1
= 1/6
9) Lim sec x (Tan x - sin x)/x
= Lim 1/(cos x) . ((Tan x)/x - (sin x)/x)
= 1/(cos 0) . (1/1 - 1/1)
= 1/1 (0)
= 0
10) Lim (sin 3x - sin 3x cos 2x)/(8x^2)
= Lim sin 3x (1 - cos 2x)/(8x^2)
= Lim (sin 3x . 2 sin^2 x)/(8x^2)
= Lim (sin 3x)/8 . 2 . (sin x)/x . (sin x)/x
= (sin 0)/8 . 2 . 1 . 1
= 0/8 . 2
= 0
7) Lim (1 - Tan x) sec 2x
= Lim (1 - Tan x) . 1/(cos 2x)
= (1 - Tan π/2) . 1/(cos π)
= (1 - ~) . 1/(-1)
= -~ . -1
= ~