lim x → 0 1-cos^2x/6x sin x
Matematika
RudiGunawan17
Pertanyaan
lim x → 0 1-cos^2x/6x sin x
2 Jawaban
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1. Jawaban Anonyme
Bab Limit
Matematika SMA Kelas X
Lim ((1 - cos² x) / (6x . sin x)
x→0
= Lim ((sin² x)/(6x . sin x))
...x→0
= 1/6 -
2. Jawaban MicoArrafi
[tex]$\begin{align}\lim_{x\to0}\frac{1-\cos^2x}{6x\cdot\sin x}&=\lim_{x\to0}\frac{\sin^2x}{6x\cdot\sin x}\\&=\lim_{x\to0}\frac{\sin x}{6x}\\&=\boxed{\frac16}\end[/tex]