What is the limit as x approaches-infinity of e^{xx} ?

The limit as x approaches-infinity of e^{xx} is infinity

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limit as x approaches-infinity of e^{xx}

x \to - \infty lim (e^{xx})

\infty

Solution steps

x \to - \infty lim (e^{xx})

Simplify

xx : x^{2}

= x \to - \infty lim (e^{x^{2}})

Apply the Limit Chain Rule:

\infty

= \infty

x \to - 2 lim (3 2 + x)

x \to 2 lim (2 x^{3} + 4 x - 2)

x \to 1 lim ((2 x - 3) (x + 1))

x \to 0 lim (x + x)

What is the limit as x approaches-infinity of e^{xx} ?
The limit as x approaches-infinity of e^{xx} is infinity