Pertanyaan

x → 0 lim 1 − cos 2 ( 2 x ) 3 x 2 = ....

$x \to 0 lim \frac{3 x ^{2}}{1 - cos ^{2} ( \frac{x}{2} )} = ....$

P. Anggrayni

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Jadi, jawaban yang tepat adalah E.

$begin mathsize 14px style limit as straight x rightwards arrow 0 of fraction numerator 3 straight x squared over denominator 1 minus cos squared open parentheses begin display style straight x over 2 end style close parentheses end fraction equals limit as straight x rightwards arrow 0 of fraction numerator 3 straight x squared over denominator sin squared open parentheses begin display style straight x over 2 end style close parentheses end fraction equals 3 times limit as straight x rightwards arrow 0 of fraction numerator 3 straight x squared over denominator sin open parentheses begin display style straight x over 2 end style close parentheses end fraction times limit as straight x rightwards arrow 0 of fraction numerator straight x squared over denominator sin open parentheses begin display style straight x over 2 end style close parentheses end fraction equals 3 times fraction numerator 1 over denominator begin display style 1 half end style end fraction times fraction numerator 1 over denominator begin display style 1 half end style end fraction equals 12 end style$

Jadi, jawaban yang tepat adalah E.