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

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

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

\frac{\partial}{\partial x} (sinh (x^{2} y))

x^{2} + 3, 4 x^{2}

y^{^{''}} - y = x

\frac{2 x ^{\frac{3}{2}} - x ^{2} + 4}{x}, at x = 4

\frac{d}{d x} (\frac{7}{3 x ^{4}})

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