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

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

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limit as x approaches infinity of x^2+2

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

\infty

Solution steps

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

Apply Infinity Property:

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

n is even

a = 1, n = 2

= \infty

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