Question

Find the points of discontinuity. f(x)= cos(x/x- pi)

Answer 1

Is that \(\Large cos({\frac{x}{x}-\pi})\) or \(\Large cos({\frac{x}{x-\pi}})\)?

Answer 2

the second one

Answer 3

So, first of all, consider the definition of cosine.
Cosine is defines at adjacent over hypotenuse. Looking at the unit circle, hypotenuse is never 0, so that alone cannot create any points of discontinuity the way that it could with tangent.

However, inspect the parenthesis. \(\Large \frac{x}{x-\pi}\)
Is there a value for x for which trying to evaluate that would cause a problem?