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

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

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

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

diverges

Solution steps

x \to 0 lim ((1 + 2 \cdot \frac{1}{y})^{\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 ((1 + 2 \cdot \frac{1}{y})^{\frac{1}{x}}) = \infty

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

= diverges

\int_{2}^{3} \frac{19}{3 - x} d x

y^{^{'}} = 5 x e^{y}

\frac{d}{d x} (x ln (x y))

\int x^{3} 36 - x^{2} d x

x \to 0 lim (\frac{e ^{x} - 1}{13 x})

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