What is the limit as x approaches infinity of 16x^3 ?

The limit as x approaches infinity of 16x^3 is infinity

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limit as x approaches infinity of 16x^3

x \to \infty lim (16 x^{3})

\infty

Solution steps

x \to \infty lim (16 x^{3})

Apply Infinity Property:

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

n is odd

a = 16, n = 3

= \infty

x \to 0 lim (x^{4} sin (\frac{7}{x}))

x \to - 3 - lim (\frac{x + 3}{x ^{2} - 9})

x \to \infty lim (+ x^{2})

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

x \to 0 lim (\frac{x ^{2} - 5 x + 4}{x})

What is the limit as x approaches infinity of 16x^3 ?
The limit as x approaches infinity of 16x^3 is infinity