Pertanyaan

Nilai x → 0 lim 5 x 2 tan 2 x ⋅ tan 3 x adalah.....

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

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Klaim

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 0 of fraction numerator tan space 2 x space tan space 3 x over denominator 5 x squared end fraction equals limit as x rightwards arrow 0 of open parentheses 1 fifth close parentheses open parentheses fraction numerator tan begin display style space end style begin display style 2 end style begin display style x end style over denominator x end fraction close parentheses open parentheses fraction numerator tan begin display style space end style begin display style 3 end style begin display style x end style over denominator x end fraction close parentheses equals open parentheses 1 fifth close parentheses open parentheses 2 close parentheses open parentheses 3 close parentheses equals 6 over 5$