What is the limit as x approaches 0+of 3^{1/x} ?

The limit as x approaches 0+of 3^{1/x} is infinity

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limit as x approaches 0+of 3^{1/x}

x \to 0 + lim (3^{\frac{1}{x}})

\infty

Solution steps

x \to 0 + lim (3^{\frac{1}{x}})

Apply exponent rules

= x \to 0 + lim (e^{\frac{1}{x} l n (3)})

Apply the Limit Chain Rule:

\infty

= \infty

\int 2 x 3 1 + x^{2} d x

2 t y^{'} + (4 + 12 t^{3} - 120 t^{2}) y = 0

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

\frac{\partial}{\partial y} (7 sin (x y))

\frac{\partial}{\partial x} (3 x e^{5 x y})

What is the limit as x approaches 0+of 3^{1/x} ?
The limit as x approaches 0+of 3^{1/x} is infinity