What is the limit as n approaches infinity of an^2 ?

The limit as n approaches infinity of an^2 is infinity

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limit as n approaches infinity of an^2

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

\infty

Solution steps

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

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

= a \cdot 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

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

Apply the common limit:

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

= a \infty^{2}

Simplify

a \infty^{2} : \infty

= \infty

y = (x^{2} + 8 x - 4) (2 x^{- 2} + x^{- 4})

cos (4 t)

x \to 1 - lim (\frac{x - 1}{x + 1})

f (x) = \frac{x}{10}

\frac{d y}{d x}, x = y^{10}

What is the limit as n approaches infinity of an^2 ?
The limit as n approaches infinity of an^2 is infinity