What is the limit as x approaches 3 of x^{-1} ?

The limit as x approaches 3 of x^{-1} is 1/3

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limit as x approaches 3 of x^{-1}

x \to 3 lim (x^{- 1})

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

x \to 3 lim (x^{- 1})

Plug in the value

x = 3

= 3^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{3}

x \to - 0.75 lim (x^{2} + 3)

x \to 0 lim (x^{4} cos (\frac{4}{x}))

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

x \to 0 lim ((1 + \frac{1}{x})^{2})

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

What is the limit as x approaches 3 of x^{-1} ?
The limit as x approaches 3 of x^{-1} is 1/3