What is the limit as x approaches 0+of x^{4/x} ?

The limit as x approaches 0+of x^{4/x} is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0+of x^{4/x}

x \to 0 + lim (x^{\frac{4}{x}})

0

Solution steps

x \to 0 + lim (x^{\frac{4}{x}})

Apply exponent rules

= x \to 0 + lim (e^{\frac{4}{x} l n (x)})

Apply the Limit Chain Rule:

0

= 0

\int \frac{x ^{4} + 5 x - 3}{x ^{2}} d x

\frac{d}{d x} ((3 x^{6} - 2 x^{4})^{4})

\int x^{- 7} d x

\int \frac{2 x}{( x ^{2} + 1 ) ln ( x ^{2} + 1 )} d x

in v erse l a pl a ce \frac{1}{( s ^{2} ( s + 1 ) )}

What is the limit as x approaches 0+of x^{4/x} ?
The limit as x approaches 0+of x^{4/x} is 0