What is the limit as x approaches 0 of (1/x)/x ?

The limit as x approaches 0 of (1/x)/x 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 0 of (1/x)/x

x \to 0 lim (\frac{\frac{1}{x}}{x})

\infty

Solution steps

x \to 0 lim (\frac{\frac{1}{x}}{x})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{\frac{1}{x}}{x}) = \infty

x \to 0 + lim (\frac{\frac{1}{x}}{x}) = \infty

= \infty

x \to 1 lim (- 3 2 - x)

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

x \to 0 lim ((4 x - 1)^{2 x + 1})

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

x \to 2 + lim (5 - x)

What is the limit as x approaches 0 of (1/x)/x ?
The limit as x approaches 0 of (1/x)/x is infinity