Pertanyaan

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

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

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

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$begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application space fraction numerator 1 minus cos space invisible function application x over denominator tan squared invisible function application space 2 x end fraction equals limit as x rightwards arrow 0 of invisible function application space fraction numerator 1 minus left parenthesis 1 minus 2 sin squared invisible function application space 1 half x right parenthesis over denominator tan invisible function application space 2 x space tan space invisible function application 2 x end fraction equals limit as x rightwards arrow 0 of invisible function application space fraction numerator 2 sin squared space invisible function application 1 half x over denominator tan invisible function application space 2 x space tan invisible function application 2 x end fraction equals limit as x rightwards arrow 0 of space 2 fraction numerator sin space invisible function application 1 half x space sin space invisible function application 1 half x over denominator tan invisible function application space 2 x space tan invisible function application space 2 x end fraction equals 2 space. fraction numerator 1 half over denominator 2 end fraction space. space fraction numerator 1 half over denominator 2 end fraction equals 2 space.1 fourth space.1 fourth equals 1 over 8 end style$