What is the limit as x approaches 0 of 4/(sin(5x)) ?

The limit as x approaches 0 of 4/(sin(5x)) is diverges

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limit as x approaches 0 of 4/(sin(5x))

x \to 0 lim (\frac{4}{sin ( 5 x )})

diverges

Solution steps

x \to 0 lim (\frac{4}{sin ( 5 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{4}{sin ( 5 x )}) = \infty

x \to 0 - lim (\frac{4}{sin ( 5 x )}) = - \infty

= diverges

y^{^{'}} = - x e^{- x + y}

\int \frac{( 3 x + 5 )}{x ^{2} + 2 x + 1} d x

\frac{\partial}{\partial x} (x + 4)

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

x \to 5 lim (- x^{2} + 9 x - 7)

What is the limit as x approaches 0 of 4/(sin(5x)) ?
The limit as x approaches 0 of 4/(sin(5x)) is diverges