Pertanyaan

Tentukan nilai dari soal di bawah ini 5. x → 0 lim sin 2 x tan x 3 x sin 4 x

Tentukan nilai dari soal di bawah ini
5. $x \to 0 lim \frac{3 x sin 4 x}{sin 2 x tan x}$

S. Solehuzain

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

nilai

nilai $begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator 3 x space sin space 4 x over denominator sin space 2 x space tan space x end fraction equals 6 end style$

Pembahasan

Dengan demikian, nilai

$begin mathsize 14px style table attributes columnalign center left end attributes row blank cell limit as x rightwards arrow 0 of fraction numerator 3 x space sin space 4 x over denominator sin space 2 x space tan space x end fraction end cell row equals cell limit as x rightwards arrow 0 of fraction numerator 3 x over denominator sin space 2 x end fraction. limit as x rightwards arrow 0 of fraction numerator sin space 4 x over denominator tan space x end fraction end cell row equals cell 3 over 2.4 over 1 end cell row equals 6 end table end style$

Dengan demikian, nilai $begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator 3 x space sin space 4 x over denominator sin space 2 x space tan space x end fraction equals 6 end style$