Jawab:
limit trigonometri bentuk 0/0, sifat :
i) lim (x->0) sin x/ x = lim (x->0) x/sin x = 1
ii) lim (x->0) cos x = 1
iii) lim (x->0) tan x/ x = lim (x->0) x/tan x = 1
Penjelasan dengan langkah-langkah:
limi (x -> 0) { sin 2x. sin 3x ] / { tan 3x. tan 2x }
= lim (x ->0) { sin 2x / tan 3x }. { sin 3x / tan 2x }
= (2x / 3x) . (3x/2x)
= (2/3) (3/2)
= 1
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Jawab:
limit trigonometri bentuk 0/0, sifat :
i) lim (x->0) sin x/ x = lim (x->0) x/sin x = 1
ii) lim (x->0) cos x = 1
iii) lim (x->0) tan x/ x = lim (x->0) x/tan x = 1
Penjelasan dengan langkah-langkah:
limi (x -> 0) { sin 2x. sin 3x ] / { tan 3x. tan 2x }
= lim (x ->0) { sin 2x / tan 3x }. { sin 3x / tan 2x }
= (2x / 3x) . (3x/2x)
= (2/3) (3/2)
= 1