What is the limit as x approaches 0 of (e^x+1)/x ?

The limit as x approaches 0 of (e^x+1)/x is diverges

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limit as x approaches 0 of (e^x+1)/x

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

diverges

Solution steps

x \to 0 lim (\frac{e ^{x} + 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 (\frac{e ^{x} + 1}{x}) = \infty

x \to 0 - lim (\frac{e ^{x} + 1}{x}) = - \infty

= diverges

3 x^{2} - 5 x

\int \frac{e ^{4 x}}{e ^{4 x} + 3} d x

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

5 x^{2} - 3 x + 1

\frac{d}{d x} (3 \cdot 5^{x})

What is the limit as x approaches 0 of (e^x+1)/x ?
The limit as x approaches 0 of (e^x+1)/x is diverges