What is the limit as x approaches 10 of (7x^2-70x)/(x^2-100) ?

The limit as x approaches 10 of (7x^2-70x)/(x^2-100) is 7/2

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limit as x approaches 10 of (7x^2-70x)/(x^2-100)

x \to 10 lim (\frac{7 x ^{2} - 70 x}{x ^{2} - 100})

\frac{7}{2}

Decimal

3.5

Solution steps

x \to 10 lim (\frac{7 x ^{2} - 70 x}{x ^{2} - 100})

Simplify

\frac{7 x ^{2} - 70 x}{x ^{2} - 100} : \frac{7 x}{x + 10}

= x \to 10 lim (\frac{7 x}{x + 10})

Plug in the value

x = 10

= \frac{7 \cdot 10}{10 + 10}

Simplify

\frac{7 \cdot 10}{10 + 10} : \frac{7}{2}

= \frac{7}{2}

What is the limit as x approaches 10 of (7x^2-70x)/(x^2-100) ?
The limit as x approaches 10 of (7x^2-70x)/(x^2-100) is 7/2