Provide an appropriate response.Give an example of a function f(x) that is continuous for all values of x except where it has a nonremovable discontinuity. Explain how you know that f is discontinuous at and why the discontinuity is nonremovable.

Question

What will be an ideal response?

Answer 1

Let f(x) = , for all x ? 4. The function f is continuous for all  and   As f is unbounded as x approaches 4, f is discontinuous at , and, moreover, this discontinuity is nonremovable.