Question

What is the value of lim f(x) if a function f is continuous at x= 0 and f( 0) =7 ​

Answer 1

Answer:

The function 1/x is continuous on (0, ∞) and on (−∞, 0), i.e., for x > 0 and for x < 0, in other words, at every point in its domain. However, it is not a continuous function since its domain is not an interval. It has a single point of discontinuity, namely x = 0, and it has an infinite discontinuity there.