What is the limit as x approaches 0+of (4x)^{3/x} ?

The limit as x approaches 0+of (4x)^{3/x} is 0

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limit as x approaches 0+of (4x)^{3/x}

x \to 0 + lim ((4 x)^{\frac{3}{x}})

0

Solution steps

x \to 0 + lim ((4 x)^{\frac{3}{x}})

Apply exponent rules

= x \to 0 + lim (e^{\frac{3}{x} l n (4 x)})

Apply the Limit Chain Rule:

0

= 0

\frac{5 x ^{4} + x ^{2}}{2}

x + 49

\frac{d}{d x} (\frac{2 x}{x ^{2} + 5})

\int \frac{1}{32768} sin (8 x) d x

3 x y^{^{'}} - 2 y = \frac{x ^{3}}{y ^{2}}

What is the limit as x approaches 0+of (4x)^{3/x} ?
The limit as x approaches 0+of (4x)^{3/x} is 0