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

The limit as x approaches 0 of x/(x^2-8x) is -1/8

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

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

- \frac{1}{8}

Decimal Notation

- 0.125

Solution steps

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

Simplify

\frac{x}{x ^{2} - 8 x} : \frac{1}{x - 8}

= x \to 0 lim (\frac{1}{x - 8})

Plug in the value

x = 0

= \frac{1}{0 - 8}

Simplify

= - \frac{1}{8}

x \to - 1 lim (\frac{2 x + 1}{x - 3})

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

x \to 2 lim (\frac{sin ( 8 x )}{x})

x \to 0 lim (- x^{x})

x \to 0 + lim (- ln (x^{x}))

What is the limit as x approaches 0 of x/(x^2-8x) ?
The limit as x approaches 0 of x/(x^2-8x) is -1/8