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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{d}{d x} ((3 x - 4) (x^{3} + 5))

\int - sec^{3} (x) d x

f (x)^{2}

\frac{d}{d x} ((2 x + 1)^{\frac{1}{2}})

\frac{d}{d x} (\frac{2}{( x + 2 ) ^{2}})

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