Question

F(x) ={x^2 + 25}/{25 - x^2}.

Find each point of discontinuity of f, and for each give the value of the point of discontinuity and evaluate the indicated one-sided limits.

Answer 1

The point of discontinuity of F(x) ={x^2 + 25}/{25 - x^2} is the value of x where the denominator is equal to zero. In this case, 25 - x^2 = 0; we raise the equation to the power of 0.5, hence x is equal to negative 5 and positive 5. the solution set is {-5,5}