limit as x approaches infinity of 2/(6x)

解答

x \to \infty lim (\frac{2}{6 x})

0

求解步骤

x \to \infty lim (\frac{2}{6 x})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{2}{6} \cdot x \to \infty lim (\frac{1}{x})

约分:

2

= \frac{1}{3} \cdot x \to \infty lim (\frac{1}{x})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

不定型除外

= \frac{1}{3} \cdot \frac{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( x )}

x \to \infty lim (1) = 1

x \to \infty lim (x) = \infty

= \frac{1}{3} \cdot \frac{1}{\infty}

化简

\frac{1}{3} \cdot \frac{1}{\infty} : 0

= 0

x \to 0 lim (x cos (\frac{π}{x}))

x \to - \frac{π}{2} + lim (- 5 x - \frac{π}{2})

x \to - 2 + lim (\frac{x - ∣ x ∣}{x + 2})

x \to 2 lim (\frac{x}{x ^{3} - 8})

x \to \frac{π ^{+}}{2} lim (tan (x))