What is the limit as x approaches 0+of x^{8/x} ?

The limit as x approaches 0+of x^{8/x} is 0

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limit as x approaches 0+of x^{8/x}

x \to 0 + lim (x^{\frac{8}{x}})

0

Solution steps

x \to 0 + lim (x^{\frac{8}{x}})

Apply exponent rules

= x \to 0 + lim (e^{\frac{8}{x} l n (x)})

Apply the Limit Chain Rule:

0

= 0

x^{2} sin (8 x)

y^{^{''}} - 4 y = 0

\int (x^{\frac{3}{2}} + 6)^{8} x d x

\frac{\partial}{\partial x} (10 x y)

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

What is the limit as x approaches 0+of x^{8/x} ?
The limit as x approaches 0+of x^{8/x} is 0