What is the limit as x approaches-infinity of 3x^2+1 ?

The limit as x approaches-infinity of 3x^2+1 is infinity

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limit as x approaches-infinity of 3x^2+1

x \to - \infty lim (3 x^{2} + 1)

\infty

Solution steps

x \to - \infty lim (3 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 = 3, n = 2

= \infty

y^{^{'}} + 2 sin (2 x) y = 2 sin (2 x)

\int \frac{e ^{\frac{1}{x}} + 2}{x ^{2}} d x

x^{2} - 2 x + 2, \frac{1}{2} (x - 4)^{2}, x = 0

\int_{0}^{\frac{π}{2}} 5 sin^{2} (3 x) d x

\int tan^{3} (x) sec^{3} (x) d x

What is the limit as x approaches-infinity of 3x^2+1 ?
The limit as x approaches-infinity of 3x^2+1 is infinity