What is the limit as x approaches 0 of (e^x)/(6x) ?

The limit as x approaches 0 of (e^x)/(6x) is diverges

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limit as x approaches 0 of (e^x)/(6x)

x \to 0 lim (\frac{e ^{x}}{6 x})

diverges

Solution steps

x \to 0 lim (\frac{e ^{x}}{6 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 ^{x}}{6 x}) = \infty

x \to 0 - lim (\frac{e ^{x}}{6 x}) = - \infty

= diverges

x \to 1 lim (\frac{x - 2}{1 - x ^{2}})

θ \to \frac{2 π}{3} lim (sin (θ))

x \to \infty lim (3 x - 7)

h \to 3 lim (\frac{( 2 + h ) ^{2} - 4}{h})

x \to 2 lim (\frac{1}{3 x - 6})

What is the limit as x approaches 0 of (e^x)/(6x) ?
The limit as x approaches 0 of (e^x)/(6x) is diverges