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

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

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

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

\infty

Solution steps

x \to \infty lim (2 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 = 2, n = 2

= \infty

\frac{d}{d x} (e^{x} + e)

\int \frac{sin ^{2} ( x )}{cos ^{3} ( x )} d x

y = \frac{26}{5} - \frac{1}{x}, y = x

2 x^{2}, 2 x + 6, - 2, - 1

x \to \infty lim (e^{3 x})

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