What is the limit as x approaches 4 of 1/x+x^{-1} ?

The limit as x approaches 4 of 1/x+x^{-1} is 1/2

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limit as x approaches 4 of 1/x+x^{-1}

x \to 4 lim (\frac{1}{x} + x^{- 1})

\frac{1}{2}

Decimal

0.5

Solution steps

x \to 4 lim (\frac{1}{x} + x^{- 1})

Plug in the value

x = 4

= \frac{1}{4} + 4^{- 1}

Simplify

\frac{1}{4} + 4^{- 1} : \frac{1}{2}

= \frac{1}{2}

What is the limit as x approaches 4 of 1/x+x^{-1} ?
The limit as x approaches 4 of 1/x+x^{-1} is 1/2