What is the limit as x approaches infinity of xx ?

The limit as x approaches infinity of xx is infinity

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limit as x approaches infinity of xx

x \to \infty lim (xx)

\infty

Solution steps

x \to \infty lim (xx)

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

With the exception of indeterminate form

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

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

= \infty \cdot \infty

Apply Infinity Property:

\infty \infty = \infty

= \infty

\int 3 cos^{3} (6 x) d x

\int cos^{10} (2 y) sin^{3} (2 y) d y

\frac{d}{d x} (\frac{1}{9} x - ln (3 x))

y = x^{2}, y = 8 x

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