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

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

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limit as x approaches-infinity of x^2+x

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

\infty

Solution steps

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

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 - 3 lim (x^{2} + 2 x - 5)

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

x \to 0 lim ((sec (x))^{4 x})

x \to 0 + lim (- \frac{sin ( x )}{2 \cdot x})

x \to 1 lim (\frac{x - x ^{4}}{1 - x})

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