I have a math problem I need help with. I tried to do it but I wasn't really sure on any of them, and the last two (d and e) I have no idea how to do.

Question: Which of the following statements about the function y = f(x) graphed here are true and which are false?

Picture of the graph in the textbook(I recreated it as best as I could using Microsoft Paint):

a. lim f(x) does not exist.

x->2

My answer for a:False? I wrote "because it does not matter whether or not if the "circle" is shaded in". There is a line going over the part at 2, so I guess it does exist as x-> 2?

b. lim f(x) = 2

x->2

My answer for b:true?

c. lim f(x) does not exist

x->1

My answer for c:false? The dot is there at 1 so it's false?

d. lim f(x) exists at every point x0 in (-1, 1).

x->x0(x over 0)

My answer for d:I don't understand the question or how to do this

e. lim f(x) exists at every point x0 in (1, 3).

x-> x0(x over 0)

My answer for e:Same as d, don't know.

Any help will be appreciated it, thanks in advance.