What is the limit as x approaches infinity of x^{-5} ?

The limit as x approaches infinity of x^{-5} is 0

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limit as x approaches infinity of x^{-5}

x \to \infty lim (x^{- 5})

0

Solution steps

x \to \infty lim (x^{- 5})

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))^{- 5}

Apply the common limit:

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

= \infty^{- 5}

Apply Infinity Property:

\infty^{- c} = 0

= 0

\frac{d}{d x} (\frac{768}{x} - 1)

\int_{- 1}^{0} 6 \frac{e ^{\frac{1}{x}}}{x ^{3}} d x

12 - x - x^{2}, x + 4

y 1 = x^{3} + 4 x^{2} - 6 x - 9, y 2 = 3 x^{2}

f (x) = e^{7 x^{2}}, at x = 2

What is the limit as x approaches infinity of x^{-5} ?
The limit as x approaches infinity of x^{-5} is 0