[tex] \lim_{x \to \ 0} \sqrt{\frac{1 - cos x}{ x^{2} }[/tex]
Matematika
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Pertanyaan
[tex] \lim_{x \to \ 0} \sqrt{\frac{1 - cos x}{ x^{2} }[/tex]
1 Jawaban
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1. Jawaban Anonyme
Bab Limit
Matematika SMA Kelas X
lim √((1 - cos x)/(x²)
x→0
= lim (√(( 1 - cos² x) / (x² (1 + cos x))
...x→0
= lim √((sin² x) / (x² (1 + cos x))
...x→0
= lim √(1/(1 + cos x))
...x→0
= √(1/2)
= 1/2 √2