Need some help with these annoying questions. If any one of you guys have time to take a look and give me a shout, it'll be great. I am taking online course, so it takes a while for me to get my tutor.

find lim x-> 3 for f(x)
f(x):
1/(x-3)^2 if x doesn't equal 3
2 if x=3

I don't think there is a limit because x-> 3- has undefined value... but I am not sure.

lim x-> 0
sqaure root (x-x^2)

I could say it's 0, but I think it doesn't have one because function itself doesn't exist when x is less than 0, and so there's no lim x-> 0-... hence no overall function.

lim x -> 1+
sqaure root (1-x)
Same reasoning as earlier question

f(x) x-5 / sinx.. give interval notation
I know x does not equal n(pi) where n is any integer... but how do I express that in interval notation?

Thanks in advance,

nein12