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

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

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

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

- 1

Solution steps

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

Simplify

\frac{8 x ^{2} - 2 x}{2 x} : 4 x - 1

= x \to 0 lim (4 x - 1)

Plug in the value

x = 0

= 4 \cdot 0 - 1

Simplify

= - 1

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