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Popular Calculus >

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

Solution

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

Solution

0

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

0

= 0

Graph

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Frequently Asked Questions (FAQ)

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