Pertanyaan

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

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

P. Anggrayni

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Jadi, jawaban yang tepat adalah E.

$begin mathsize 14px style limit as straight x rightwards arrow 0 of fraction numerator cos space left parenthesis 4 straight x right parenthesis minus 1 over denominator straight x space tan space left parenthesis 2 straight x right parenthesis end fraction equals limit as straight x rightwards arrow 0 of fraction numerator 1 minus 2 sin squared left parenthesis 2 straight x right parenthesis minus 1 over denominator straight x space tan left parenthesis 2 straight x right parenthesis end fraction equals 2 space. space limit as straight x rightwards arrow 0 of fraction numerator sin begin display style left parenthesis end style begin display style 2 end style begin display style straight x end style begin display style right parenthesis end style over denominator straight x end fraction space. space limit as straight x rightwards arrow 0 of fraction numerator sin begin display style left parenthesis end style begin display style 2 end style begin display style straight x end style begin display style right parenthesis end style over denominator tan begin display style left parenthesis end style begin display style 2 end style begin display style straight x end style begin display style right parenthesis end style end fraction equals negative 2 space. space 2 space.1 space equals space minus 4 end style$

Jadi, jawaban yang tepat adalah E.