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

f (x) = x e^{x} - e^{x}

\int 7 e^{6} d x

t \to 1 lim (\frac{1}{t - 1})

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

f (x) = (4 x - 4)^{\frac{1}{3}}, at x = 2

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