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

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

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

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

\infty

Solution steps

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

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

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

x \to 0 lim (- 1 + x ln (x))

x \to 0 lim ((x^{a}) sin (\frac{1}{x}))

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