Tentukan nilai limit fungsi trigonometri berikut A. Lim x → phi/6 ( cos^2 x - sin^2 x) B. Lim x → phi/3 Tan 2x / x
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Pertanyaan
Tentukan nilai limit fungsi trigonometri berikut
A. Lim x → phi/6
( cos^2 x - sin^2 x)
B. Lim x → phi/3
Tan 2x / x
A. Lim x → phi/6
( cos^2 x - sin^2 x)
B. Lim x → phi/3
Tan 2x / x
1 Jawaban
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1. Jawaban DB45
Limit trigonometri
a. lim (x-> pi/6) cos²x - sin² x
sub x = pi/6
= (cos pi/6)² - (sin pi/6)²
= (¹/₂√3)² - (¹/₂)²
= 3/4 - 1/4
= 2/4
= 1/2
b. lim(x-> pi/3) tan 2x / x
= tan (2/3 pi) / (pi/3)
= - 3/(2pi)