lim 1-cos^2(x-2) : 3x^2-12x+12 dimana x→2 adalah...
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lim 1-cos^2(x-2) : 3x^2-12x+12 dimana x→2 adalah...
1 Jawaban
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1. Jawaban DB45
Limit Trigonometri
lim(x->2) (1 -cos² (x-2)) / (3x² -12x +12)
= lim(x->2) sin² (x-2) / (3x - 6)(x-2)
= lim((x->2).sin² (x-2) / 3(x-2)(x-2)
= 1/3 . lim(x-->2) sin²(x-2)/(x-2)²
= 1/3 (1)
= 1/3