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 (x^{x})

Apply exponent rules

= x \to \infty lim (e^{x l n (x)})

Apply the Limit Chain Rule:

\infty

= \infty

\int_{7}^{12} ln (x^{3}) d x

\frac{- 8 x - 2}{9 x - 4}

\frac{d}{d x} (x e^{- t})

\frac{\partial}{\partial x} (4 x^{3} + y)

5 tan (5 x)

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