Pertanyaan

Nilai x → 0 lim sin 2 x tan 2 x 1 − cos 8 x = ...

Nilai $x \to 0 lim \frac{1 - cos 8 x}{sin 2 x tan 2 x}$ = ...

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$begin mathsize 12px style limit as x rightwards arrow 0 of fraction numerator 1 minus cos 8 x over denominator sin 2 x space tan 2 x end fraction equals limit as x rightwards arrow 0 of fraction numerator 2 sin squared 4 x over denominator sin 2 x space tan 2 x end fraction equals limit as x rightwards arrow 0 of fraction numerator 2 times sin 4 x times sin 4 x over denominator sin 2 x times tan 2 x end fraction equals 2 times limit as x rightwards arrow 0 of fraction numerator sin 4 x over denominator tan 2 x end fraction times fraction numerator sin 4 x over denominator sin 2 x end fraction times fraction numerator 4 x over denominator 4 x end fraction times fraction numerator 2 x over denominator 2 x end fraction equals 2 times 2 over 2 times 4 over 2 times 4 over 4.2 equals 8 end style$