What is the limit as x approaches 0 of (e^{2x-1})/(tan(x)) ?

The limit as x approaches 0 of (e^{2x-1})/(tan(x)) is diverges

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limit as x approaches 0 of (e^{2x-1})/(tan(x))

x \to 0 lim (\frac{e ^{2 x - 1}}{tan ( x )})

diverges

Solution steps

x \to 0 lim (\frac{e ^{2 x - 1}}{tan ( 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 ^{2 x - 1}}{tan ( x )}) = \infty

x \to 0 - lim (\frac{e ^{2 x - 1}}{tan ( x )}) = - \infty

= diverges

4 e^{2 t}

y = 2 tan^{2} (2 x) - 1

\frac{4 - x e ^{x}}{x + e ^{x}}

\frac{d y}{d t} = \frac{1}{t} y + 3 t

\frac{50}{100 s + 0.01 s ^{2}}

What is the limit as x approaches 0 of (e^{2x-1})/(tan(x)) ?
The limit as x approaches 0 of (e^{2x-1})/(tan(x)) is diverges