Question

lim
x → 2 f(x)=6
Is it possible for this statement to be true and yet f(2) = 8? Explain.

Answer 1

Why wouldn't it be? lim x->2 f(x) doesn't necessarily equal f(2)

Answer 2

So even thought it's approaching 6, it doesn't necessary have to be solved at 6.

Answer 3

Exactly. To put it simply, you could have a graph with a "holed" point.

Answer 4

And a point, say, above the "holed" point

Answer 5

ooh ok.Got it.Thanks