Pertanyaan

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

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

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of invisible function application fraction numerator sin squared invisible function application x over denominator tan invisible function application x end fraction end cell equals cell limit as x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application x sin invisible function application x over denominator tan invisible function application x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application x over denominator tan invisible function application x end fraction times limit as x rightwards arrow 0 of invisible function application sin invisible function application x end cell row blank equals cell limit as x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application x over denominator tan invisible function application x end fraction times x over x times limit as x rightwards arrow 0 of invisible function application sin invisible function application x end cell row blank equals cell limit as x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application x over denominator x end fraction times fraction numerator x over denominator tan invisible function application x end fraction times limit as x rightwards arrow 0 of invisible function application sin invisible function application x end cell row blank equals cell limit as x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application x over denominator x end fraction times limit as x rightwards arrow 0 of invisible function application fraction numerator x over denominator tan invisible function application x end fraction times limit as x rightwards arrow 0 of invisible function application sin invisible function application x end cell row blank equals cell 1 times 1 times sin invisible function application 0 end cell row blank equals cell sin invisible function application 0 end cell row blank equals 0 end table end style$