Kalkulus Contoh

lim_{x \to \infty} \frac{\cos (x)}{x}

$lim_{x \to \infty} \frac{\cos (x)}{x}$

Langkah 1

Karena

\frac{- 1}{x} \leq \frac{\cos (x)}{x} \leq \frac{1}{x}

$\frac{- 1}{x} \leq \frac{\cos (x)}{x} \leq \frac{1}{x}$ dan

lim_{x \to \infty} \frac{- 1}{x} = lim_{x \to \infty} \frac{1}{x} = 0

$lim_{x \to \infty} \frac{- 1}{x} = lim_{x \to \infty} \frac{1}{x} = 0$ , terapkan Teorema Apit.

0

$0$