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

The limit as x approaches 0+of (x)^{2x} 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)^{2x}

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

1

Solution steps

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

Apply exponent rules

= x \to 0 + lim (e^{2 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

x \to 2 lim (5 x^{2} - 3 x + 2)

x \to 0 lim (+ ln (x))

x \to 0 lim (x \cdot ∣ x ∣)

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

x \to \frac{3}{2} lim (- 2 x + 4)

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