What is the limit as x approaches 0+of x^{5/x} ?

The limit as x approaches 0+of x^{5/x} is 0

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limit as x approaches 0+of x^{5/x}

x \to 0 + lim (x^{\frac{5}{x}})

0

Solution steps

x \to 0 + lim (x^{\frac{5}{x}})

Apply exponent rules

= x \to 0 + lim (e^{\frac{5}{x} l n (x)})

Apply the Limit Chain Rule:

0

= 0

x \to 0 lim (\frac{3}{10 - e ^{x}})

\int 2 e^{2}

\frac{d}{d x} (x lo g_{2} (x))

n = 1 \sum \infty - \frac{1}{8 ^{n}}

\int \frac{4 x ^{2} - x + 5}{12 x} d x

What is the limit as x approaches 0+of x^{5/x} ?
The limit as x approaches 0+of x^{5/x} is 0