What is the limit as x approaches 0 of (ex-1)cot(2x) ?

The limit as x approaches 0 of (ex-1)cot(2x) is diverges

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limit as x approaches 0 of (ex-1)cot(2x)

x \to 0 lim ((e x - 1) cot (2 x))

diverges

Solution steps

x \to 0 lim ((e x - 1) cot (2 x))

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim ((e x - 1) cot (2 x)) = - \infty

x \to 0 - lim ((e x - 1) cot (2 x)) = \infty

= diverges

\int \frac{x + 17}{x ^{2} + 16 x + 68} d x

\int \frac{( 4 x + 13 )}{( x ^{2} + 3 x - 10 )} d x

6 x^{2}, at x = 10

\int x^{2} - 4 x + 2 d x

\int sin (θ) \cdot cos (θ) d θ

What is the limit as x approaches 0 of (ex-1)cot(2x) ?
The limit as x approaches 0 of (ex-1)cot(2x) is diverges