What is the limit as x approaches 0 of (x)^{(x^2)} ?

The limit as x approaches 0 of (x)^{(x^2)} is Does not exist

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 (x)^{(x^2)}

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

Does not exist

Solution steps

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

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

then the limit does not exist

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

x \to 0 - lim (x^{x^{2}}) =

Does not exist

= Does not exist

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

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

u \to 0 lim (csc (u) - cot (u))

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

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

What is the limit as x approaches 0 of (x)^{(x^2)} ?
The limit as x approaches 0 of (x)^{(x^2)} is Does not exist