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 ....

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Jawaban terverifikasi

Jawaban

jawaban yang tepatadalah C.

jawaban yang tepat adalah C.

Pembahasan

Perhatikan bahwa Jadi, jawaban yang tepatadalah C.

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$

Jadi, jawaban yang tepat adalah C.