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Popular Calculus >

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

Solution

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

Solution

1

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 1

Graph

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Frequently Asked Questions (FAQ)

What is the limit as x approaches 0+of (x)^{sqrt(x)} ?
The limit as x approaches 0+of (x)^{sqrt(x)} is 1