Pertanyaan

Hitung x → 0 l im 1 − cos 2 x 3 tan 5 x sin 2 x !

Hitung $x \to 0 l im \frac{3 tan 5 x sin 2 x}{1 - cos 2 x}$ !

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack l i m with x rightwards arrow 0 below fraction numerator 3 space tan space 5 x space sin space 2 x over denominator 1 minus cos space 2 x end fraction end cell row blank equals cell stack l i m with x rightwards arrow 0 below fraction numerator 3 space tan space 5 x space sin space 2 x over denominator 1 minus left parenthesis 1 minus 2 sin squared x right parenthesis end fraction end cell row blank equals cell stack l i m with x rightwards arrow 0 below fraction numerator 3 space tan space 5 x space sin space 2 x over denominator 2 space sin space x space sin space x space end fraction end cell row blank equals cell stack l i m with x rightwards arrow 0 below 3 over 2 times fraction numerator tan space 5 x over denominator 5 x end fraction times 5 x times fraction numerator sin space 2 x over denominator 2 x end fraction times 2 x times fraction numerator x over denominator sin space x end fraction times 1 over x times fraction numerator x over denominator sin space x end fraction times 1 over x end cell row blank equals 15 end table end style$