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

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

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limit as x approaches 0 of (e^{3x})/x

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

diverges

Solution steps

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

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

= diverges

x \to - 3 + lim (g (x))

x \to 0 lim (x^{5} (ln (x))^{2})

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

x \to 0 + lim ((1 + \frac{6}{x})^{2 x})

x \to 8 lim (\frac{2}{x - 8})

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