Pertanyaan

x → 0 lim sin x cos x x + cos x = .....

$x \to 0 lim \frac{x + cos x}{sin x cos x} =$ .....

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style limit as straight x rightwards arrow 0 of invisible function application space fraction numerator straight x plus straight x space cos space invisible function application straight x over denominator sin space invisible function application straight x space cos space invisible function application straight x end fraction limit as straight x rightwards arrow 0 of invisible function application space fraction numerator straight x open parentheses 1 plus cos space invisible function application straight x close parentheses over denominator sin invisible function application space straight x space cos space invisible function application straight x end fraction limit as straight x rightwards arrow 0 of invisible function application space fraction numerator 1 plus cos space invisible function application straight x over denominator cos space invisible function application straight x end fraction equals fraction numerator 1 plus cos space invisible function application 0 over denominator cos space invisible function application 0 end fraction equals fraction numerator 1 plus 1 over denominator 1 end fraction equals 2 end style$