limit-> 0 sin 4x + sin 2x / 6x cos x
Matematika
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Pertanyaan
limit-> 0 sin 4x + sin 2x / 6x cos x
1 Jawaban
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1. Jawaban DB45
limit bentuk 0/0
lim(x->0) (sin 4x + sin 2x) / (6x)(cos x)
lim(x->0) (2 sin 1/2 (4x+2x) cos 1/2 (4x-2x) / (6x. cos x)
lim(x->0) (2 sin 3x cos x)/(6x)(cos x)
lim(x->0) (2 sin 3x)/(6x) = 2(3x)/(6x) = 6x/6x = 1