What is the limit as x approaches 1/8 of 1/x+x^{-1} ?

The limit as x approaches 1/8 of 1/x+x^{-1} is 16

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limit as x approaches 1/8 of 1/x+x^{-1}

x \to \frac{1}{8} lim (\frac{1}{x} + x^{- 1})

16

Solution steps

x \to \frac{1}{8} lim (\frac{1}{x} + x^{- 1})

Plug in the value

x = \frac{1}{8}

= \frac{1}{\frac{1}{8}} + (\frac{1}{8})^{- 1}

Simplify

\frac{1}{\frac{1}{8}} + (\frac{1}{8})^{- 1} : 16

= 16

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What is the limit as x approaches 1/8 of 1/x+x^{-1} ?
The limit as x approaches 1/8 of 1/x+x^{-1} is 16