Pertanyaan

x → 0 lim sin 2 x 3 x cos x = ...

$x \to 0 lim \frac{3 x cos x}{sin 2 x} = ...$

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Ingat kembali rumus sudut rangkap: sin 4x = 2 sin 2x cos 2x Maka, Jawaban D

Ingat kembali rumus sudut rangkap:

sin 4x = 2 sin 2x cos 2x

Maka,

$limit as x rightwards arrow 0 of fraction numerator 3 x space cos space x over denominator sin space 2 x end fraction equals limit as x rightwards arrow 0 of fraction numerator 3 x space cos space x over denominator 2 space sin space x space cos space x end fraction equals limit as x rightwards arrow 0 of open parentheses 3 over 2 close parentheses open parentheses fraction numerator x over denominator sin space x end fraction close parentheses open parentheses fraction numerator cos space x over denominator cos space x end fraction close parentheses equals open parentheses 3 over 2 close parentheses open parentheses 1 close parentheses open parentheses 1 close parentheses equals 3 over 2$

Jawaban D