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

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

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

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

0

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:

0

= 0

\int \frac{x ^{2}}{x x ^{2} - x + 1} d x

\int x cos (\frac{1}{2} x) d x

y^{^{''}} + 3 y^{^{'}} + 2 y = x + 6 e^{x}, y (0) = 0, y^{^{'}} (0) = 1

y = sin (x y) + π, (1, π)

7 \frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 9 y = 0

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