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{\partial}{\partial x} (- 4 y^{2} x (6 - x^{2} y^{2}))

(x^{2} + 1) \cdot \frac{d y}{d x} + 3 x (y - 1) = 0

x \to 5 lim (3 x + 2)

y^{^{''}} - 6 y^{^{'}} - 7 y = 0

(- 40) (- 4 - 10)

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