What is the limit as x approaches-infinity of x^n ?

The limit as x approaches-infinity of x^n is (-infinity)^n

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limit as x approaches-infinity of x^n

x \to - \infty lim (x^{n})

(- \infty)^{n}

Solution steps

x \to - \infty lim (x^{n})

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

With the exception of indeterminate form

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

Apply the common limit:

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

= (- \infty)^{n}

F (x) = \frac{x ^{3} - 3 x ^{2} + 4 x - 5}{x ^{2}}

f (x) = e^{- x^{2}} + x

y^{^{'}} + 4 y = x^{2} e^{- 4 x}

3 t + 1

(sin (4 x))^{^{'}}

What is the limit as x approaches-infinity of x^n ?
The limit as x approaches-infinity of x^n is (-infinity)^n