What is the limit as x approaches infinity of xb ?

The limit as x approaches infinity of xb is infinity

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limit as x approaches infinity of xb

x \to \infty lim (x b)

\infty

Solution steps

x \to \infty lim (x b)

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

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

Apply the common limit:

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

= b \cdot \infty

Simplify

b \cdot \infty : \infty

= \infty

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What is the limit as x approaches infinity of xb ?
The limit as x approaches infinity of xb is infinity