What is the limit as x approaches infinity of 4(x-3) ?

The limit as x approaches infinity of 4(x-3) is infinity

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limit as x approaches infinity of 4(x-3)

x \to \infty lim (4 (x - 3))

\infty

Solution steps

x \to \infty lim (4 (x - 3))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 4 \cdot x \to \infty lim (x - 3)

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

= 4 (x \to \infty lim (x) - x \to \infty lim (3))

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

x \to \infty lim (3) = 3

= 4 (\infty - 3)

Simplify

4 (\infty - 3) : \infty

= \infty

What is the limit as x approaches infinity of 4(x-3) ?
The limit as x approaches infinity of 4(x-3) is infinity