Lim X menuju 0 cos x - cos2x/ x^2
Matematika
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Pertanyaan
Lim X menuju 0 cos x - cos2x/ x^2
1 Jawaban
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1. Jawaban DB45
Limit trigonometri
lim(x->0) (cos x - cos 2x )/(x²)
lim(x->0) -(cos 2x - cos x) / (x²)
lim(x->0) - {-2 sin 3/2 x sin 1/2 x} /(x²)
= (2)(3/2)(1/2)
= 3/2