What is the limit as x approaches infinity of ax+b ?

The limit as x approaches infinity of ax+b is infinity

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limit as x approaches infinity of ax+b

x \to \infty lim (a x + b)

\infty

Solution steps

x \to \infty lim (a x + b)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to \infty lim (a x) + x \to \infty lim (b)

x \to \infty lim (a x) = \infty

x \to \infty lim (b) = b

= \infty + b

Apply Infinity Property:

\infty + c = \infty

= \infty

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

x \to \frac{π}{3} - lim (1 - cos (3 x))

x \to - 2 lim (3 x + 2)

x \to 2 - lim (\frac{1}{2 - x})

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

What is the limit as x approaches infinity of ax+b ?
The limit as x approaches infinity of ax+b is infinity