What is the limit as x approaches 0+of 1/(sin(x)) ?

The limit as x approaches 0+of 1/(sin(x)) is infinity

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limit as x approaches 0+of 1/(sin(x))

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

\infty

Solution steps

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

For

x

approaching

0

from the right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

\frac{d}{d x} ((x^{2} + 7) (5 - x))

\int 3 - x^{2} d x

\frac{\partial}{\partial y} (3 y^{2} x + x^{3} + y x^{2})

\frac{d}{d y} (sin (y) - y sin (x))

- 4 (x - 4)^{3}

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