What is the limit as x approaches 4 of ((2+x)^3-8)/x ?

The limit as x approaches 4 of ((2+x)^3-8)/x is 52

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limit as x approaches 4 of ((2+x)^3-8)/x

x \to 4 lim (\frac{( 2 + x ) ^{3} - 8}{x})

52

Solution steps

x \to 4 lim (\frac{( 2 + x ) ^{3} - 8}{x})

Plug in the value

x = 4

= \frac{( 2 + 4 ) ^{3} - 8}{4}

Simplify

= 52

2 (s + 2)

\int - 3 cos (x) + 4 sec^{2} (x) d x

\frac{\partial}{\partial x} (4 cos (4 x))

\frac{1}{x + 1}

\int (t + 4) e^{t^{2} + 8 t + 1} d t

What is the limit as x approaches 4 of ((2+x)^3-8)/x ?
The limit as x approaches 4 of ((2+x)^3-8)/x is 52