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

The limit as x approaches infinity of x^{-1} is 0

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

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

0

Solution steps

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

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

With the exception of indeterminate form

= (x \to \infty lim (x))^{- 1}

Apply the common limit:

x \to \infty lim (x) = \infty

= \infty^{- 1}

Apply Infinity Property:

\infty^{- c} = 0

= 0

x^{\frac{4}{5}}

(3 x y^{2} + 13 y) + (3 x^{2} y + 13 x) y^{^{'}} = 0

\int x^{2} - 1 d x

\frac{u}{u ^{2} + 7}

\int t^{- 1} d t

What is the limit as x approaches infinity of x^{-1} ?
The limit as x approaches infinity of x^{-1} is 0