What is the limit as x approaches 10 of ((3x^2-30x))/(x^2-100) ?

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

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

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

\frac{3}{2}

Decimal Notation

1.5

Solution steps

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

Simplify

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

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

Plug in the value

x = 10

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

Simplify

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

= \frac{3}{2}

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

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)

\frac{1}{( s ^{2} + 9 ) ^{2}}

What is the limit as x approaches 10 of ((3x^2-30x))/(x^2-100) ?
The limit as x approaches 10 of ((3x^2-30x))/(x^2-100) is 3/2