What is the limit as x approaches infinity of 2x-8 ?

The limit as x approaches infinity of 2x-8 is infinity

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limit as x approaches infinity of 2x-8

x \to \infty lim (2 x - 8)

\infty

Solution steps

x \to \infty lim (2 x - 8)

Apply Infinity Property:

x \to \infty lim (a x^{n} + \dots + b x + c) = \infty, a > 0,

n is odd

a = 2, n = 1

= \infty

x \to 0 lim (\frac{x + 1}{x - 5})

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

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

x \to 2 lim (3 x^{3} - 2 x + 7)

x \to 0 lim ([\frac{1}{x}])

What is the limit as x approaches infinity of 2x-8 ?
The limit as x approaches infinity of 2x-8 is infinity