What is the limit as x approaches infinity of 5x^3 ?

The limit as x approaches infinity of 5x^3 is infinity

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limit as x approaches infinity of 5x^3

x \to \infty lim (5 x^{3})

\infty

Solution steps

x \to \infty lim (5 x^{3})

Apply Infinity Property:

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

n is odd

a = 5, n = 3

= \infty

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What is the limit as x approaches infinity of 5x^3 ?
The limit as x approaches infinity of 5x^3 is infinity