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

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

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

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

- 1

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{1}{8 \cdot 0 - 1}

Simplify

= - 1

\frac{d}{d x} (\frac{x - a}{1 + x})

f (x) = 2 (x)^{4}

f (x) = ln (3 x + 2)

\frac{24}{x ^{2} + 12}

x 3600 - x^{2}

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