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^{2} \frac{d y}{d x} + x y = x^{2} e^{x}

(11 x y^{2} - 13 y) + (11 x^{2} y - 13 x) \cdot \frac{d y}{d x} = 0

x \to + (- 1) lim (- x^{2} + 4 x - 5)

\frac{d y}{d x} = 4 x 1 - y^{2}

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