What is the limit as x approaches infinity of (x^{1/2})/(x^{2/3)} ?

The limit as x approaches infinity of (x^{1/2})/(x^{2/3)} is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches infinity of (x^{1/2})/(x^{2/3)}

x \to \infty lim (\frac{x ^{\frac{1}{2}}}{x ^{\frac{2}{3}}})

0

Solution steps

x \to \infty lim (\frac{x ^{\frac{1}{2}}}{x ^{\frac{2}{3}}})

Simplify

\frac{x ^{\frac{1}{2}}}{x ^{\frac{2}{3}}} : \frac{1}{x ^{\frac{1}{6}}}

= x \to \infty lim (\frac{1}{x ^{\frac{1}{6}}})

Apply Infinity Property:

x \to \infty lim (\frac{c}{x ^{a}}) = 0

= 0

x \to 0 + lim (\frac{2}{e ^{x} + 1})

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

(x + y)^{2} + (2 x y + x^{2} - 1) \frac{d y}{d x} = 0

\int_{- 2}^{2} x 4 - x^{2} d x

a re a y = 4 x^{2}, y = x^{2} + 3

What is the limit as x approaches infinity of (x^{1/2})/(x^{2/3)} ?
The limit as x approaches infinity of (x^{1/2})/(x^{2/3)} is 0