What is the limit as x approaches 0+of x^{7/x} ?

The limit as x approaches 0+of x^{7/x} is 0

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limit as x approaches 0+of x^{7/x}

x \to 0 + lim (x^{\frac{7}{x}})

0

Solution steps

x \to 0 + lim (x^{\frac{7}{x}})

Apply exponent rules

= x \to 0 + lim (e^{\frac{7}{x} l n (x)})

Apply the Limit Chain Rule:

0

= 0

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What is the limit as x approaches 0+of x^{7/x} ?
The limit as x approaches 0+of x^{7/x} is 0