limit as x approaches 2-of x/(2-x)

解答

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

\infty

求解步骤

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

除以分母的最高次幂:

\frac{1}{\frac{2}{x} - 1}

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

x

从左侧趋近于

2, x < 2 \Rightarrow \frac{2}{x} - 1 > 0

分母从右侧趋近于 0，为正值

= \infty

\int \frac{x ^{2}}{289 - x ^{2}} d x

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

s l o p e (0.4) (2)

n \to \infty lim (1)

a re a y = 5 x - x^{2}, y = 3 x^{2} + x