What is the limit as x approaches 0 of 1/(2+3^{1/x)} ?

The limit as x approaches 0 of 1/(2+3^{1/x)} is diverges

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limit as x approaches 0 of 1/(2+3^{1/x)}

x \to 0 lim (\frac{1}{2 + 3 ^{\frac{1}{x}}})

diverges

Solution steps

x \to 0 lim (\frac{1}{2 + 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 (\frac{1}{2 + 3 ^{\frac{1}{x}}}) = 0

x \to 0 - lim (\frac{1}{2 + 3 ^{\frac{1}{x}}}) = \frac{1}{2}

= diverges

n = 1 \sum \infty \frac{1}{( n + 1 )}

n = 0 \sum \infty (- \frac{1}{2})^{n}

\frac{\partial}{\partial y} (2 x y^{3})

y^{^{''}} - 8 y^{^{'}} + 16 y = 2 t e^{4 t}

e^{- \frac{x}{2}}, 3

What is the limit as x approaches 0 of 1/(2+3^{1/x)} ?
The limit as x approaches 0 of 1/(2+3^{1/x)} is diverges