What is the limit as x approaches 0 of 2/(sin(3x)) ?

The limit as x approaches 0 of 2/(sin(3x)) is diverges

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limit as x approaches 0 of 2/(sin(3x))

x \to 0 lim (\frac{2}{sin ( 3 x )})

diverges

Solution steps

x \to 0 lim (\frac{2}{sin ( 3 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{2}{sin ( 3 x )}) = \infty

x \to 0 - lim (\frac{2}{sin ( 3 x )}) = - \infty

= diverges

n = 1 \sum \infty \frac{7}{2 ^{n}}

\frac{d}{d x} (\frac{9 x ^{2}}{x ^{2} + 2})

\int cos (x) cos (n x) d x

\frac{\partial}{\partial x} ((1 + \frac{2}{y}) sin (x))

\int \frac{e ^{x}}{( 4 + 9 e ^{2 x} )} d x

What is the limit as x approaches 0 of 2/(sin(3x)) ?
The limit as x approaches 0 of 2/(sin(3x)) is diverges