What is the limit as x approaches 0 of (x^2-4x)/x ?

The limit as x approaches 0 of (x^2-4x)/x is -4

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limit as x approaches 0 of (x^2-4x)/x

x \to 0 lim (\frac{x ^{2} - 4 x}{x})

- 4

Solution steps

x \to 0 lim (\frac{x ^{2} - 4 x}{x})

Simplify

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

= x \to 0 lim (x - 4)

Plug in the value

x = 0

= 0 - 4

Simplify

= - 4

x \to 7 + lim (\frac{x - 7}{∣ x - 7 ∣})

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What is the limit as x approaches 0 of (x^2-4x)/x ?
The limit as x approaches 0 of (x^2-4x)/x is -4