What is the limit as x approaches infinity of x^2-5x ?

The limit as x approaches infinity of x^2-5x is infinity

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limit as x approaches infinity of x^2-5x

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

\infty

Solution steps

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

x \to 2 - lim (5 - 2 x)

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

x \to 2 lim (arcsin (x))

x \to 0 lim (1 - x)

What is the limit as x approaches infinity of x^2-5x ?
The limit as x approaches infinity of x^2-5x is infinity