Pertanyaan

Nilai x → 0 lim cos 2 x − 1 x tan 2 x adalah ....

Nilai $x \to 0 lim \frac{x tan 2 x}{cos ^{2} x - 1}$ adalah ....

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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$begin mathsize 14px style Ingat space bahwa space sin squared space invisible function application straight x plus cos squared space invisible function application straight x equals 1 left right double arrow cos to the power of 2 space end exponent invisible function application straight x minus 1 equals negative sin squared space invisible function application straight x limit as straight x rightwards arrow 0 of invisible function application space fraction numerator straight x space tan invisible function application space 2 straight x over denominator negative sin squared space invisible function application straight x end fraction equals limit as straight x rightwards arrow 0 of invisible function application space fraction numerator straight x space tan space invisible function application 2 straight x over denominator negative sin space invisible function application straight x. sin space invisible function application straight x end fraction equals negative limit as straight x rightwards arrow 0 of fraction numerator straight x over denominator sin space invisible function application straight x end fraction. limit as straight x rightwards arrow 0 of fraction numerator space tan space invisible function application 2 straight x over denominator sin space invisible function application straight x end fraction equals negative 1 over 1.2 over 1 equals negative 2 end style$