Pertanyaan

Nilai dari x → 0 lim 3 x 2 tan 2 x ⋅ tan 3 x adalah ....

Nilai dari $x \to 0 lim \frac{tan 2 x \cdot tan 3 x}{3 x ^{2}}$ adalah ....

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

Nilainya didapatkan: Dengan demikian,nilai dari adalah . Jadi, jawaban yang benar adalah D.

Nilainya didapatkan:

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow 0 of fraction numerator tan space 2 straight x times tan space 3 straight x over denominator 3 straight x squared end fraction end cell equals cell limit as straight x rightwards arrow 0 of fraction numerator tan space 2 straight x times tan space 3 straight x over denominator 3 straight x squared end fraction times fraction numerator 6 straight x squared over denominator 6 straight x squared end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator tan space 2 straight x times tan space 3 straight x over denominator 3 straight x squared end fraction times fraction numerator 6 straight x squared over denominator 2 straight x times 3 straight x end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator tan space 2 straight x over denominator 2 straight x end fraction times fraction numerator tan space 3 straight x over denominator 3 straight x end fraction times fraction numerator 6 straight x squared over denominator 3 straight x squared end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator tan space 2 straight x over denominator 2 straight x end fraction times limit as straight x rightwards arrow 0 of fraction numerator tan space 3 straight x over denominator 3 straight x end fraction times limit as straight x rightwards arrow 0 of fraction numerator 6 straight x squared over denominator 3 straight x squared end fraction end cell row blank equals cell 1 times 1 times 2 end cell row blank equals 2 end table$

Dengan demikian, nilai dari $limit as x rightwards arrow 0 of fraction numerator tan space 2 x times tan space 3 x over denominator 3 x squared end fraction$ adalah .

Jadi, jawaban yang benar adalah D.