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

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

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limit as x approaches infinity of x+x^2

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

\infty

Solution steps

x \to \infty lim (x + x^{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

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

x \to - \infty lim (\frac{1}{0})

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

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

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

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