What is the limit as x approaches 0+of 6/(sin(x)) ?

The limit as x approaches 0+of 6/(sin(x)) is infinity

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limit as x approaches 0+of 6/(sin(x))

x \to 0 + lim (\frac{6}{sin ( x )})

\infty

Solution steps

x \to 0 + lim (\frac{6}{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

\int \frac{1}{v ^{2} + 8 v - 9} d v

\int - \frac{2}{x + 1} d x

\int x (3 x - 2) d x

\frac{d y}{d x} + x y = y

\int_{- 1}^{9} 9 - x^{2} + 8 x d x

What is the limit as x approaches 0+of 6/(sin(x)) ?
The limit as x approaches 0+of 6/(sin(x)) is infinity