Tolong yg ngerti bantu jwb ya,thx:)
Matematika
Maulid68
Pertanyaan
Tolong yg ngerti bantu jwb ya,thx:)
1 Jawaban
-
1. Jawaban DB45
Limit trigonometri
a) lim(x->π) sinx/(1 - cos x)
sub x = π
= sin π/ ( 1 - cos π)
= 0/ (1 - (-1)
= 0/2
= 0
b.lim(x - π/4) 1 + tan x / csc x + 2
sub x = π/4
= (1 + tan π/4) / (1/sin π/4 + 2)
= (1 + 1) / (√2 + 2)
= 2/ (√2+2)
= 2(√2 -2) / (2 - 4) = 2 (√2 - 2)/(-2)
= - (√2 -2)
= 2 - √2
c. lim (x->0) (1 - sin x) / cos² x
x= 0
= (1 - sin 0)/(cos 0)²
= (1 - 0)/ (1)²
= 1
d. lim(x->0) (1 - cos x)/(sin² x)
x= 0 --> bntuk 0/0
lim(x->0) (2 sin² 1/2 x ) / sin² x
= 2 (1/2)² /(1)
= 1/2