Pertanyaan

Nilai dari x → 0 lim x tan 4 x cos 6 x − 1 adalah ...

Nilai dari $x \to 0 lim \frac{cos 6 x - 1}{x tan 4 x}$ adalah ...

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H. Eka

Master Teacher

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$limit as x rightwards arrow 0 space of fraction numerator cos space 6 x space minus 1 over denominator x space tan space 4 x end fraction space equals space limit as x rightwards arrow 0 space of fraction numerator begin display style negative 2 space sin squared space 3 x end style over denominator begin display style x space tan space 4 x end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space limit as x rightwards arrow 0 space of minus 2 fraction numerator begin display style sin space 3 x end style over denominator begin display style x end style end fraction space fraction numerator sin begin display style space end style begin display style 3 end style begin display style x end style over denominator tan begin display style space end style begin display style 4 end style begin display style x end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space minus 2.3 space 3 over 4 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space minus 9 over 2$

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