Suppose that f: R --> R is a continuous function, satisfying f(1)= 4

Question

Suppose that f: R --> R is a continuous function, satisfying f(1)= 4

What is the value of the limit lim x->1 f(x)?

lim x->1 f(x)= ?

Answer 1

If f(x) is continuous at x = c, then lim_x→c f(x) = f(c).

So, lim_x→1 f(x) = f(1) = 4.