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

从右侧趋近于

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

分母从左侧趋近于 0，为负值

= - \infty

t an g e n t y = e^{4 x}

y^{^{''}} + y^{^{'}} = \frac{1}{4} cos (3 t)

\frac{\partial}{\partial x} (e^{2 y - x})

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\int 5 x^{2} sin (2 x) d x