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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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)]^{b} = [x \to a lim f (x)]^{b}

With the exception of indeterminate form

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

Apply Infinity Property:

x \to \pm \infty lim (a x^{n} + \dots + b x + c) = \infty, a > 0,

n is even

a = 81, n = 2

= \infty

Apply Infinity Property:

\infty^{c} = \infty

= \infty

\int 7 e^{9 x} d x

\int y \cdot e^{- y} d y

(2 y + 2 t - 9) d t + (8 y + 2 t - 1) d y = 0

\frac{d}{d x} (\frac{7 x}{x - 1})

x \to 0 lim (x^{x})

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