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

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

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 3(x^{x/2})

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

3

Solution steps

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

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

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

Apply exponent rules

= 3 \cdot x \to 0 + lim (e^{\frac{x}{2} l n (x)})

Apply the Limit Chain Rule:

1

= 3 \cdot 1

Simplify

= 3

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

x \to 8 lim (\frac{2 x - 3}{x})

x \to a + 1 lim (x - 1)

x \to a lim (x^{2} - a^{2})

x \to 0 lim (\frac{4 x - 1}{x})

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