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

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

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

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

- 4

Solution steps

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

Simplify

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

= x \to 0 lim (x - 4)

Plug in the value

x = 0

= 0 - 4

Simplify

= - 4

x^{3} - x, 3 x

\frac{\partial}{\partial x} (x^{2} sin^{2} (y))

\frac{\partial}{\partial x} (y^{3} sin (4 x))

\int \frac{1}{x + x ^{2} + 1} d x

x \to - 1 - lim (x + 1)

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