What is the limit as x approaches infinity of x^3+2 ?

The limit as x approaches infinity of x^3+2 is infinity

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limit as x approaches infinity of x^3+2

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

\infty

Solution steps

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

Apply Infinity Property:

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

n is odd

a = 1, n = 3

= \infty

x \to 3 lim (x^{3} + 6 x)

x \to 0.1 lim (e^{- \frac{1}{x}})

x \to \infty lim (\frac{18}{x})

x \to 0 lim ((1 - \frac{x}{2})^{\frac{5}{x}})

x \to \infty lim (\frac{2 x + 1}{5 x ^{3} + x ^{2} - 2})

What is the limit as x approaches infinity of x^3+2 ?
The limit as x approaches infinity of x^3+2 is infinity