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

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

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

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

\infty

Solution steps

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

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

x \to 0 lim (\frac{e ^{3 x} - 2}{x})

x \to - 2 lim (\frac{sin ( ∣ x ∣ )}{x})

x \to 0 lim (tan (x) + \frac{π}{2})

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

x \to 0 - lim (3 (\frac{1}{x} - csc (x)))

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