limit as x approaches-2+of-1/(x^2-4)

解答

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

\infty

求解步骤

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

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

= - x \to - 2 + lim (\frac{1}{x ^{2} - 4})

x

从右侧趋近于

- 2, x > - 2 \Rightarrow x^{2} - 4 < 0

分母从左侧趋近于 0，为负值

= - (- \infty)

化简

= \infty

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