What is the limit as x approaches 0 of (x^2-5x)/(x^2+8x) ?

The limit as x approaches 0 of (x^2-5x)/(x^2+8x) is -5/8

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limit as x approaches 0 of (x^2-5x)/(x^2+8x)

x \to 0 lim (\frac{x ^{2} - 5 x}{x ^{2} + 8 x})

- \frac{5}{8}

Decimal

- 0.625

Solution steps

x \to 0 lim (\frac{x ^{2} - 5 x}{x ^{2} + 8 x})

Simplify

\frac{x ^{2} - 5 x}{x ^{2} + 8 x} : \frac{x - 5}{x + 8}

= x \to 0 lim (\frac{x - 5}{x + 8})

Plug in the value

x = 0

= \frac{0 - 5}{0 + 8}

Simplify

= - \frac{5}{8}

What is the limit as x approaches 0 of (x^2-5x)/(x^2+8x) ?
The limit as x approaches 0 of (x^2-5x)/(x^2+8x) is -5/8