What is the limit as x approaches infinity of 12x^3 ?

The limit as x approaches infinity of 12x^3 is infinity

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limit as x approaches infinity of 12x^3

x \to \infty lim (12 x^{3})

\infty

Solution steps

x \to \infty lim (12 x^{3})

Apply Infinity Property:

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

n is odd

a = 12, n = 3

= \infty

x \to 0 lim ((1 + \frac{4}{x ^{5}})^{x})

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

x \to - 1 - lim (\frac{- 1}{x + 1})

x \to a lim (x^{2} - a x)

x \to 2 lim (9 - 2 x)

What is the limit as x approaches infinity of 12x^3 ?
The limit as x approaches infinity of 12x^3 is infinity