Question

Given:
a)lim f(x) = 10
x----> 2+

b)lim f(x) = 10
x----> 2-

c)lim f(x) = 10
x----> 2

d) f(2)= 10.

What type of function is this limit?
Would it be a horizontal line?

Answer 1

All we know is that the function is continuous at x=2. No idea what it looks like more than a small distance away from there. It could be increasing or decreasing, or have a cusp.

Oh yeah -- or be horizontal.