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

The limit as z approaches 2 of (-2/(z+2))^3 is -1/8

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limit as z approaches 2 of (-2/(z+2))^3

z \to 2 lim ((- \frac{2}{z + 2})^{3})

- \frac{1}{8}

Decimal Notation

- 0.125

Solution steps

z \to 2 lim ((- \frac{2}{z + 2})^{3})

Plug in the value

z = 2

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

Simplify

(- \frac{2}{2 + 2})^{3} : - \frac{1}{8}

= - \frac{1}{8}

\frac{d y}{d x} = e^{2 x} + 3 y

\int x 16 + x^{2} d x

f (x) = ln (1 + \frac{1}{x})

\frac{d}{d x} (3 x sin (π x))

(\frac{x}{x ^{2} + 1})^{^{'}}

What is the limit as z approaches 2 of (-2/(z+2))^3 ?
The limit as z approaches 2 of (-2/(z+2))^3 is -1/8