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

The limit as x approaches infinity of x(x) is infinity

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limit as x approaches infinity of x(x)

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

\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

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

x \to 4 lim (f (x) + g (x))

x \to - \infty lim (3 + \frac{4}{x})

x \to 0 lim (\frac{sin ( π ) x}{x})

x \to 0 lim (\frac{sin ( 3 x )}{4})

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