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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{d}{d x} (\frac{x}{8 x + 3})

\frac{d y}{d x} = (3 - 2 y) \cdot x^{3}

\int \frac{ln ( x )}{x ( 1 + ln ^{2} ( x ) )} d x

\int_{0}^{15} 1000 e^{- 0.05 x} d x

\frac{d}{d x} ((5 x^{2} - 2) (x^{3} + 3 x))

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