What is the limit as x approaches-infinity of 5+x^2 ?

The limit as x approaches-infinity of 5+x^2 is infinity

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limit as x approaches-infinity of 5+x^2

x \to - \infty lim (5 + x^{2})

\infty

Solution steps

x \to - \infty lim (5 + x^{2})

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 y}{d x} = x y

y^{^{''}} + 4 y + 8 = 0, y (0) = 4, y^{^{'}} (0) = - 3

f (x) = - 2 \cdot x, at x = 1

\frac{d}{d x} (\frac{6 x ^{2} + 6 x + 2}{x})

\frac{\partial}{\partial x} (cos^{4} (x^{3} y^{8}))

What is the limit as x approaches-infinity of 5+x^2 ?
The limit as x approaches-infinity of 5+x^2 is infinity