求极限的值 \lim_{x \rightarrow 2} \left ( \frac{x}{x - 3} - \frac{9}{x^{2} - 3 x} \right )

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Question :

lim_x goes to 2 ( fracxx - 3 - frac9x^{2 - 3 x} )

求极限的值

\frac{5}{2}

替代形式

2 \frac{1}{2}

替代形式

2.5

求值

x \to 2 lim (\frac{x}{x - 3} - \frac{9}{x ^{2} - 3 x})

重写表达式

x \to 2 lim (\frac{x}{x - 3}) + x \to 2 lim (- \frac{9}{x ^{2} - 3 x})

计算

More Steps

求值

x \to 2 lim (\frac{x}{x - 3})

重写表达式

\frac{lim _{x \to 2} ( x )}{lim _{x \to 2} ( x - 3 )}

计算

\frac{2}{lim _{x \to 2} ( x - 3 )}

计算

More Steps

求值

x \to 2 lim (x - 3)

重写表达式

x \to 2 lim (x) - x \to 2 lim (3)

计算

2 - x \to 2 lim (3)

计算

2 - 3

计算

- 1

\frac{2}{- 1}

计算

- 2

- 2 + x \to 2 lim (- \frac{9}{x ^{2} - 3 x})

计算

More Steps

求值

x \to 2 lim (- \frac{9}{x ^{2} - 3 x})

重写表达式

- x \to 2 lim (\frac{9}{x ^{2} - 3 x})

计算

More Steps

求值

x \to 2 lim (\frac{9}{x ^{2} - 3 x})

重写表达式

\frac{9}{lim _{x \to 2} ( x ^{2} - 3 x )}

计算

\frac{9}{- 2}

计算

- \frac{9}{2}

- (- \frac{9}{2})

计算

\frac{9}{2}

- 2 + \frac{9}{2}

Solution

\frac{5}{2}

替代形式

2 \frac{1}{2}

替代形式

2.5

Show Solution

Frequently Asked Questions

求极限的值 $\lim_{x \rightarrow 2} \left ( \frac{x}{x - 3} - \frac{9}{x^{2} - 3 x} \right )$

$\frac{5}{2}$

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中文

lim_x goes to 2 ( fracxx - 3 - frac9x^{2 - 3 x} )

求极限的值

Frequently Asked Questions

求极限的值 \(\lim_{x \rightarrow 2} \left ( \frac{x}{x - 3} - \frac{9}{x^{2} - 3 x} \right )\)