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

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

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

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

- 4

Solution steps

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

Simplify

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

= x \to 0 lim (x - 4)

Plug in the value

x = 0

= 0 - 4

Simplify

= - 4

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