What is the limit as X approaches 0+of X^X ?

The limit as X approaches 0+of X^X is 1

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

X \to 0 + lim (X^{X})

1

Solution steps

X \to 0 + lim (X^{X})

Apply exponent rules

= X \to 0 + lim (e^{X l n (X)})

Apply the Limit Chain Rule:

1

= 1

x \to - 6 lim (e^{\frac{x}{6}})

t \to 3 lim (4 t + 3)

x \to 4 lim (\frac{1}{∣ x - 4 ∣})

x \to - 6 lim (h (x))

θ \to 0 lim (sin (\frac{1}{θ}))

What is the limit as X approaches 0+of X^X ?
The limit as X approaches 0+of X^X is 1