# Properties of Limits basic

1. Sep 27, 2008

### asdfsystema

hey guys, thanks for taking the time to check over my answers !

lim h(x)= 0 lim f(x)= -5 lim g(x) = 9

1. lim h(x)+f(x)= -5
2. lim h(x)-f(x) = +5
3. lim h(x)*g(x)= 0
4. lim h(x)/f(x) = 0
5. lim h(x)/g(x)= 0
6. lim g(x)/h(x) = DNE
7. lim squareroot (f(x)) = DNE (?)
8. lim f(x)^-1 = -1/5 ?
9. lim 1/ f(x) - g(x) = -1/14?

2. Sep 27, 2008

### Gib Z

Yes, those are all correct. Im assuming you meant a brackets around the f(x) - g(x) on your last one. From the ?'s on your last 3 im assuming you aren't too sure about them.

7. Does not exist as the Sqrt function is not defined in the neighborhood of -5.

8. It's just the same rule you used in 4, but this time its 1 instead of lim h(x) on the numerator.

9. Same rule again - Limit of the whole thing is limit of the top over the limit of the bottom. And the limit of the bottom just uses the rule you used in 2.

3. Sep 27, 2008

### asdfsystema

thank you ! you're right =)