limit as x approaches infinity of 1/(x!)

解答

x \to \infty lim (\frac{1}{x !})

0

求解步骤

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{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( x ! )}

x \to \infty lim (1) = 1

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

= \frac{1}{\infty}

运用无穷大属性:

\frac{c}{\infty} = 0

= 0

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

\frac{d}{d x} (sinh^{2} (3 x))

y^{^{''}} + 4 y = 0, y (0) = 4, y^{^{'}} (0) = 1

\int (cos (9 x)) d x

\frac{d}{d x} (2 x e^{x} + 3 sec (x))