What is the limit as x approaches infinity of x-a ?

The limit as x approaches infinity of x-a is infinity

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limit as x approaches infinity of x-a

x \to \infty lim (x - a)

\infty

Solution steps

x \to \infty lim (x - a)

Apply Infinity Property:

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

n is odd

a = 1, n = 1

= \infty

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

x \to 3 + lim (\frac{x - 4}{x - 3})

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

x \to \infty lim (x - 9)

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

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