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 \frac{1 - x ^{2}}{1600} d x

x ln (x^{2})

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y = - x^{2} + 7 x, y = x^{2} - 3 x

n = 5 \sum \infty \frac{6 ^{n}}{7 ^{n}}

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