Pertanyaan

x → 2 lim 3 x 2 − 12 x + 12 1 − cos 2 ( x − 2 ) = ....

$x \to 2 lim \frac{1 - cos ^{2} ( x - 2 )}{3 x ^{2} - 12 x + 12} = ....$

P. Anggrayni

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Misal sehingga jika maka . Diperoleh: Jadi, jawaban yang tepat adalah D.

Misal sehingga jika maka .
Diperoleh:

$begin mathsize 14px style space limit as straight x rightwards arrow 2 of fraction numerator 1 minus cos squared left parenthesis straight x minus 2 right parenthesis over denominator 3 straight x squared minus 12 straight x plus 12 end fraction equals space limit as straight x rightwards arrow 2 of fraction numerator 1 minus cos squared left parenthesis straight x minus 2 right parenthesis over denominator 3 left parenthesis straight x minus 2 right parenthesis squared end fraction equals limit as straight y rightwards arrow 0 of fraction numerator sin squared left parenthesis straight y right parenthesis over denominator 3 straight y squared end fraction equals 1 third space. space limit as straight y rightwards arrow 0 of fraction numerator sin left parenthesis straight y right parenthesis over denominator straight y end fraction equals 1 third space. space 1 space. space 1 space equals space 1 third end style$

Jadi, jawaban yang tepat adalah D.