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

The limit as x approaches-infinity of x^5 is -infinity

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limit as x approaches-infinity of x^5

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

- \infty

Solution steps

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

Apply Infinity Property:

x \to - \infty lim (a x^{n} + \dots + b x + c) = - \infty, a > 0,

n is odd

a = 1, n = 5

= - \infty

x \to 1 lim (3 x^{2} + 2 x + 1)

\frac{d}{d x} (x cos (\frac{1}{x}))

\int \frac{2 x + 21}{2 x ^{2} + 9 x - 5} d x

x \to - 1 lim ((x + 2 x^{3})^{4})

\int \frac{x ^{5}}{1 - 2 x ^{2}} d x

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