What is the limit as x approaches infinity of xa ?

The limit as x approaches infinity of xa is infinity

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limit as x approaches infinity of xa

x \to \infty lim (x a)

\infty

Solution steps

x \to \infty lim (x a)

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

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

Apply the common limit:

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

= a \cdot \infty

Simplify

a \cdot \infty : \infty

= \infty

\frac{d}{d x} (\frac{x ^{3} - 6}{x ^{2}})

\int \frac{1}{x ^{\frac{1}{2}} + x ^{\frac{1}{3}}} d x

\frac{d}{d x} (arctan (sin (ln (x^{3}))))

\int \frac{( 2 x ^{2} - x + 3 )}{x} d x

s l o p e y = 2 x^{3} - x^{2} + 3

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