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

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

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

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

0

Solution steps

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

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

With the exception of indeterminate form

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

Apply the common limit:

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

= \infty^{- 2}

Apply Infinity Property:

\infty^{- c} = 0

= 0

a re a 2, x, x^{2}

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

a re a y = x^{2} - 4 x, y = - x^{2}

\int x^{2} - 3 x - 4 d x

d er i v a t i v e y = \frac{x}{10} - \frac{10}{x}

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