New to Calculus, need help with Limits from Graphs

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):

http://img42.imageshack.us/img42/8564/90079656.jpg

*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.