Question

determine the points at which the given function is continuous refer to image

Answer 1

Answer:

nπ /11

Explanation:

To find the discontinuities of the function, we have to find the points where it is undefined.

Now

$8\cdot\csc 11x=8\cdot\frac{1}{\sin11x}$

therefore, the function is undefined where

$\sin 11x=0$

because then

$8\cdot\frac{1}{\sin11x}=8\cdot\frac{1}{0}=\text{undefined}$

The sine function is zero wherever the angle is a multiple of pi:

$11x=n\pi$

solving for x gives

$x=\frac{n\pi}{11}$

which is our answer!