# Question #1ed3f

Jul 23, 2016

No

#### Explanation:

Given is the expression
$\frac{1}{\sin} 0$

We know that $\sin 0 = 0$,
Therefore, the expression reduces to $\frac{1}{0}$
We also know that division by $0$ is not defined.
Hence, we should say
$\frac{1}{\sin} 0 = \text{undefined}$.

If a graph is drawn for $\frac{1}{x}$ as shown below, there is a discontinuity at zero.

As for very small negative numbers, $\frac{1}{x}$ approaches negative infinity, and for very small positive numbers, $\frac{1}{x}$ approaches positive infinity.