lim X-> π/4 cos 2X / cos x - sin x #tolongbantu
Matematika
fetiindriana
Pertanyaan
lim X-> π/4
cos 2X / cos x - sin x
#tolongbantu
cos 2X / cos x - sin x
#tolongbantu
1 Jawaban
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1. Jawaban Robinn
Lim [ cos2x / cosx - sinx ]
x→ π/4
Lim [ cos²x - sin²x / cosx - sinx ]
x→ π/4
Lim [ (cosx - sinx)(cosx + sinx) / cosx - sinx ]
x→ π/4
Lim [ cosx + sinx ]
x→ π/4
= cos 45 + sin 45
= 1/2 √2 + 1/2 √2
= 2 (1/2 √2)
= √2