What is the limit as x approaches 2 of (1/x)^3 ?

The limit as x approaches 2 of (1/x)^3 is 1/8

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limit as x approaches 2 of (1/x)^3

x \to 2 lim ((\frac{1}{x})^{3})

\frac{1}{8}

Decimal Notation

0.125

Solution steps

x \to 2 lim ((\frac{1}{x})^{3})

Plug in the value

x = 2

= (\frac{1}{2})^{3}

Simplify

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

= \frac{1}{8}

\frac{d}{d x} (\frac{3}{8} x^{\frac{2}{3}})

\frac{d}{d x} (\frac{2}{x - 3})

\frac{d}{d x} ((\frac{x ^{2} + 1}{x ^{2} - 1})^{3})

\frac{\partial}{\partial x} (e^{x + 7 y})

y = (x^{2} + 7 x + 2)^{3}

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