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

The limit as x approaches 0+of 3x^{sqrt(x)} 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 3x^{sqrt(x)}

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

3

Solution steps

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

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

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 3 \cdot 1

Simplify

= 3

2 x^{2} y^{^{''}} + 6 x y^{^{'}} + 2 y = 0, y (1) = 2, y^{^{'}} (1) = - 1

y^{^{''}} - 6 y^{^{'}} + 9 y = 2 t e^{3 t}

x \to 2 - lim (\frac{4}{( x - 2 ) ^{5}})

y^{^{'}} - y = 4 sin (3 t)

\frac{1}{s - 1}

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