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

The limit as x approaches infinity of xr^x is Undefined

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limit as x approaches infinity of xr^x

x \to \infty lim (x r^{x})

Undefined

Solution steps

x \to \infty lim (x r^{x})

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 (r^{x})

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

x \to \infty lim (r^{x}) =

Undefined

= \infty \cdot Undefined

= Undefined

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