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

\frac{d}{d x} (\frac{2}{3} x^{3} + x^{2} - 12 x + 17)

\frac{x ^{2} - 2 x - 8}{x + 2}

y^{^{''}} + 12 y^{^{'}} + 36 y = e^{- 7 x} (x^{2} + 3 x + 6)

f (x) = \frac{1}{( x ^{3} + 8 ) ^{5}}

\frac{d}{d x} (I n 3 x + 4)

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