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

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

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limit as n approaches infinity of n^2+2

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

\infty

Solution steps

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

Apply Infinity Property:

x \to \pm \infty lim (a x^{n} + \dots + b x + c) = \infty, a > 0,

n is even

a = 1, n = 2

= \infty

y^{2} d y + x^{2} d x = 0

f (x) = arctan (e^{x})

\frac{7}{3} x^{3} (4 x^{5} - 11)^{3}

\frac{d y}{d x}, e^{4 x} = sin (x + 9 y)

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