What is the limit as x approaches infinity of x^2-6x ?

The limit as x approaches infinity of x^2-6x is infinity

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limit as x approaches infinity of x^2-6x

x \to \infty lim (x^{2} - 6 x)

\infty

Solution steps

x \to \infty lim (x^{2} - 6 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 - 2 lim (x^{3} - 4 x^{2} + 2 x - 3)

x \to π lim (x - π)

x \to - 1 + lim (5 x^{3} + 2)

x \to 0 lim (\frac{1}{x} \cdot 5 x^{3} + 3)

x \to 0 lim (\frac{( x - 2 ) ^{3} + 8}{x})

What is the limit as x approaches infinity of x^2-6x ?
The limit as x approaches infinity of x^2-6x is infinity