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

\frac{d}{d x} (arccos (\frac{9}{x}))

\frac{\partial}{\partial y} (x y - z)

\frac{d ^{2}}{d x ^{2}} (e^{\frac{4}{x}})

\int \frac{3 x}{x ^{2} + 2 x + 5} d x

\int \frac{( 2 x - 3 )}{9 - x ^{2}} d x

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