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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{d}{d x} (- sin (4 x) \cdot 4)

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

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

\int t^{3} e^{- t^{2}} d t

5 tan^{2} (7 x)

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