Pertanyaan

Nilai x → 0 lim 2 x . sin 2 x 1 − cos x = .....

Nilai $x \to 0 lim \frac{1 - cos x}{2 x . sin 2 x} =$ .....

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style limit as straight x rightwards arrow 0 of invisible function application space fraction numerator 1 minus cos space invisible function application straight x over denominator 2 straight x straight space. straight space sin space invisible function application 2 straight x end fraction equals limit as straight x rightwards arrow 0 of invisible function application fraction numerator 2 space sin to the power of 2 space end exponent invisible function application 4 straight x over denominator straight space sin invisible function application space 2 straight x straight space. tan invisible function application space 2 straight x end fraction limit as straight x rightwards arrow 0 of invisible function application space fraction numerator 2. sin space invisible function application 4 straight x. sin space invisible function application 4 straight x over denominator straight space sin invisible function application space 2 straight x straight space. tan space invisible function application 2 straight x end fraction equals 8 Ingat space sifat comma bullet space limit as straight x rightwards arrow 0 of invisible function application space fraction numerator sin invisible function application space straight x over denominator straight x end fraction equals limit as straight x rightwards arrow 0 of invisible function application space fraction numerator straight x over denominator sin space invisible function application straight x end fraction equals 1 bullet space limit as straight x rightwards arrow 0 of invisible function application space fraction numerator tan invisible function application space straight x over denominator straight x end fraction equals limit as straight x rightwards arrow 0 of invisible function application space fraction numerator straight x over denominator tan invisible function application space straight x end fraction equals 1 end style$