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

解答

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

0

求解步骤

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

x \to - \infty lim (1) = 1

x \to - \infty lim (1 \cdot x) = - \infty

= \frac{1}{- \infty}

运用无穷大属性:

\frac{c}{- \infty} = 0

= 0

x \to 0 lim (\frac{1 - cos ^{2} ( x - 2 )}{3 x ^{2} - 12 x + 12})

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

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x \to \infty lim (\frac{x ^{3} + 2 x ^{2} + 3 x + 4}{4 x ^{2} + 3 x ^{2} + 2 x + 1})