Question

Show f(x) defined by f(x) = {((x2 - 25)/(x - 5) when x ≠ 5),(10, when x = 5) is continuous at x = 5

Answer 1

Also f(x) at x = 5 is 10; i.e, f(5) = 10

Here lim(x→5) f(x) = f(5) = 10.

∴ the function f(x) is continuous at x = 5