What is the limit as x approaches infinity of x^2+1 ?

The limit as x approaches infinity of x^2+1 is infinity

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limit as x approaches infinity of x^2+1

x \to \infty lim (x^{2} + 1)

\infty

Solution steps

x \to \infty lim (x^{2} + 1)

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

\frac{d}{d x} (\frac{1}{3} π x^{2} y)

\int tan^{4} (7 x) d x

\frac{\partial}{\partial x} (cos (x) sin (x) - x y)

\frac{\partial}{\partial x} (4)

a x + b

What is the limit as x approaches infinity of x^2+1 ?
The limit as x approaches infinity of x^2+1 is infinity