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

The limit as x approaches 0-of 4/(sin(x)) is -infinity

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

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

- \infty

Solution steps

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

For

x

approaching

0

from the left

, x < 0 \Rightarrow sin (x) < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int x e^{- a x^{2}} d x

y^{^{'}} = 4 e^{x + y}

4 x^{2} - 5 x

\frac{\partial}{\partial x} (sin (x \cdot e^{x^{2} \cdot y}))

\int (sin^{3} (2 t)) cos (2 t) d t

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