What is the limit as x approaches-infinity of sqrt(81x^2+x)-9x ?

The limit as x approaches-infinity of sqrt(81x^2+x)-9x is infinity

Popular >

limit as x approaches-infinity of sqrt(81x^2+x)-9x

x \to - \infty lim (81 x^{2} + x - 9 x)

\infty

Solution steps

x \to - \infty lim (81 x^{2} + x - 9 x)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to - \infty lim (81 x^{2} + x) - x \to - \infty lim (9 x)

x \to - \infty lim (81 x^{2} + x) = \infty

x \to - \infty lim (9 x) = - \infty

= \infty - (- \infty)

Apply Infinity Property:

\infty + \infty = \infty

= \infty

n = 0 \sum \infty 9 (\frac{x}{7})^{n}

\frac{d}{d x} (x - 8 x)

y = 43 x^{2} + (x^{2})^{43}

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

\int (2 + tan^{2} (θ)) d θ

What is the limit as x approaches-infinity of sqrt(81x^2+x)-9x ?
The limit as x approaches-infinity of sqrt(81x^2+x)-9x is infinity