What is the limit as x approaches 0 of 1/(3xsin(x)) ?

The limit as x approaches 0 of 1/(3xsin(x)) is infinity

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limit as x approaches 0 of 1/(3xsin(x))

x \to 0 lim (\frac{1}{3 x sin ( x )})

\infty

Solution steps

x \to 0 lim (\frac{1}{3 x sin ( x )})

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

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{1}{3 x sin ( x )}) = \infty

x \to 0 + lim (\frac{1}{3 x sin ( x )}) = \infty

= \infty

\frac{d}{d x} (ln (\frac{3 x ^{4} + 2}{4 x}))

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

6^{4 - x^{2}}

\frac{d}{d x} (\frac{2 - 3 x - x ^{2}}{x ^{2} - 4})

\frac{d y}{d x} = 4 e^{3 x - 4 y}

What is the limit as x approaches 0 of 1/(3xsin(x)) ?
The limit as x approaches 0 of 1/(3xsin(x)) is infinity