Pertanyaan

x → 0 lim xtan ( 4 1 x ) 1 − cos ( 2 x ) = ....

$x \to 0 lim \frac{1 - cos ( 2 x )}{xtan ( \frac{1}{4} x )} = ....$

P. Anggrayni

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Jadi, jawaban yang tepat adalah E.

$begin mathsize 14px style limit as straight x rightwards arrow 0 of fraction numerator 1 minus cos open parentheses 2 straight x close parentheses over denominator straight x space tan open parentheses 1 fourth straight x close parentheses end fraction equals limit as straight x rightwards arrow 0 of fraction numerator 1 minus 1 plus 2 sin squared open parentheses straight x close parentheses over denominator straight x space tan open parentheses 1 fourth straight x close parentheses end fraction equals 2 times limit as straight x rightwards arrow 0 of fraction numerator sin open parentheses straight x close parentheses over denominator straight x end fraction times limit as straight x rightwards arrow 0 of fraction numerator sin open parentheses straight x close parentheses over denominator tan open parentheses 1 fourth straight x close parentheses end fraction equals 2 times 1 times fraction numerator 1 over denominator begin display style 1 fourth end style end fraction equals 8 end style$

Jadi, jawaban yang tepat adalah E.