What is the limit as x approaches-infinity of x-3 ?

The limit as x approaches-infinity of x-3 is -infinity

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limit as x approaches-infinity of x-3

x \to - \infty lim (x - 3)

- \infty

Solution steps

x \to - \infty lim (x - 3)

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 c lim (a x^{2} + b)

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

x \to 0 lim (x ln (2 x))

x \to 0 lim (\frac{x}{ln ( 2 x + 1 )})

x \to \infty lim ((1 + \frac{0.02}{x})^{2 x})

What is the limit as x approaches-infinity of x-3 ?
The limit as x approaches-infinity of x-3 is -infinity