limit as x approaches 10 of ((3x^2-30x))/(x^2-100)

解答

x \to 10 lim (\frac{( 3 x ^{2} - 30 x )}{x ^{2} - 100})

\frac{3}{2}

十进制

1.5

求解步骤

x \to 10 lim (\frac{3 x ^{2} - 30 x}{x ^{2} - 100})

化简

\frac{3 x ^{2} - 30 x}{x ^{2} - 100} : \frac{3 x}{x + 10}

= x \to 10 lim (\frac{3 x}{x + 10})

代入值

x = 10

= \frac{3 \cdot 10}{10 + 10}

化简

\frac{3 \cdot 10}{10 + 10} : \frac{3}{2}

= \frac{3}{2}

\int \frac{5 x + 1}{2 x ^{2} - x - 1} d x

d er i v a t i v e 2 x e^{- x}

\frac{d}{d x} (\frac{5}{12} x^{\frac{6}{5}} - \frac{5}{8} x^{\frac{4}{5}})

\frac{\partial}{\partial y} (5 x^{2} - 2 y)

in v erse l a pl a ce \frac{1}{( s ^{2} + 9 ) ^{2}}