Pertanyaan

Hasil dari x → 0 lim 2 x sin 2 x sin 2 x adalah ....

Hasil dari $x \to 0 lim \frac{sin ^{2} x}{2 x sin 2 x}$ adalah ....

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa

$begin mathsize 14px style equals limit as x rightwards arrow 0 of fraction numerator sin to the power of 2 space end exponent x over denominator 2 x space sin space 2 x end fraction equals limit as x rightwards arrow 0 of fraction numerator sin space x space sin space x over denominator 2 x space sin space 2 x end fraction equals limit as x rightwards arrow 0 of fraction numerator sin space x over denominator 2 x space end fraction times fraction numerator sin space x over denominator sin space 2 x end fraction equals 1 half times 1 half equals 1 fourth end style$