Pertanyaan

Nilai dari x → 0 lim 3 tan 5 x 2 sin 3 x adalah ...

Nilai dari $x \to 0 lim \frac{2 sin 3 x}{3 tan 5 x}$ adalah ...

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H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

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Pembahasan

Aturan limit trigonometri Sehingga

Aturan limit trigonometri $limit as x rightwards arrow 0 of space fraction numerator sin space a x over denominator tan space b x end fraction space equals space a over b$

Sehingga

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of space fraction numerator 2 space sin space 3 x over denominator 3 space tan space 5 x end fraction space end cell equals cell space 2 over 3 space. space limit as x rightwards arrow 0 of fraction numerator sin space 3 x over denominator tan space 5 x end fraction end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell space 2 over 3 space. space 3 over 5 space end cell row blank equals cell space 2 over 5 end cell end table$