limit as x approaches infinity of 8/(x!)

解答

x \to \infty lim (\frac{8}{x !})

0

求解步骤

x \to \infty lim (\frac{8}{x !})

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

= 8 \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

= 8 \cdot \frac{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( x ! )}

x \to \infty lim (1) = 1

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

= 8 \cdot \frac{1}{\infty}

化简

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

= 0

d er i v a t i v e y = ln (x + 3)

\int_{2}^{6} x^{2} + 1 d x

d er i v a t i v e - \frac{1}{x} - \frac{1}{x ^{2}} + \frac{1}{x ^{3}}

in v erse l a pl a ce \frac{s + 1}{s ( s + 2 ) ( s + 4 )}

in v erse l a pl a ce \frac{1}{s ^{2} ( s - 3 ) ^{2}}