What is the limit as x approaches-infinity of x^{-2} ?

The limit as x approaches-infinity of x^{-2} is 0

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limit as x approaches-infinity of x^{-2}

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

0

Solution steps

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

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))^{- 2}

Apply the common limit:

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

= (- \infty)^{- 2}

Simplify

(- \infty)^{- 2} : 0

= 0

\frac{d}{d x} (\frac{8 x}{9 - cot ( x )})

x^{2} y^{^{''}} + 7 x y^{^{'}} + 8 y = 0, y (1) = 0, y^{^{'}} (1) = - 5

\frac{\partial}{\partial y} (ln (2 x + 3 y))

\frac{d}{d x} (\frac{x ^{3}}{2} + \frac{1}{6 x})

x^{2} + 2 x - 6

What is the limit as x approaches-infinity of x^{-2} ?
The limit as x approaches-infinity of x^{-2} is 0