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

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

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limit as x approaches infinity+of xn(x)

x \to \infty + lim (x n (x))

\infty

Solution steps

x \to \infty lim (x n x)

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= n \cdot 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

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

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

= n \cdot \infty \cdot \infty

Simplify

n \cdot \infty \cdot \infty : \infty

= \infty

x \to - 0 lim (\frac{e ^{2} - 1}{x})

x \to \infty lim (\frac{4}{2})

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

x \to 0 lim (x lo g_{2} (\frac{1}{x}))

x \to 0 + lim ((1 - 7 x)^{\frac{3}{x}})

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