# Limits Graph Interpretation

• Jun 7th 2008, 12:06 PM
snakeman11689
Limits Graph Interpretation
I have a problem that is:

f(0)=1; lim f(x)=3 as x approaches 0 from the left
lim f(x)=1 as x approaches 0 from the right

I know how to graph looks like, when i did it, but in the back of the book
lim f(x)=3 as x approaches 0 from the left<---- it has a hole
lim f(x)=1 as x approaches 0 from the right<----has a solid dot.

Why are the lines of these functions have dark dots, and some have holes??
• Jun 7th 2008, 12:08 PM
Mathstud28
Quote:

Originally Posted by snakeman11689
I have a problem that is:

f(0)=1; lim f(x)=3 as x approaches 0 from the left
lim f(x)=1 as x approaches 0 from the right

I know how to graph looks like, when i did it, but in the back of the book
lim f(x)=3 as x approaches 0 from the left<---- it has a hole
lim f(x)=1 as x approaches 0 from the right<----has a solid dot.

Why are the lines of these functions have dark dots, and some have holes??

What you said hard to interpret, but I would assume it means that the function is continuous from the right meaning the right hand limit agrees with the actual value, and discontinous from the left.

It would be more helpful if you could give an example in terms of a picture
• Jun 7th 2008, 12:27 PM
snakeman11689
Quote:

Originally Posted by Mathstud28
What you said hard to interpret, but I would assume it means that the function is continuous from the right meaning the right hand limit agrees with the actual value, and discontinous from the left.

It would be more helpful if you could give an example in terms of a picture

http://i30.tinypic.com/1589ffc.jpg

Here it is

The Bolded yellow line is the one with the dark dot, while the other one has a hole.
• Jun 7th 2008, 12:29 PM
Mathstud28
Quote:

Originally Posted by snakeman11689
http://i30.tinypic.com/1589ffc.jpg

Here it is

The Bolded yellow line is the one with the dark dot, while the other one has a hole.

I cannot see this picture, sorry. But I am about 99% sure that what I said above is what you are asking.
• Jun 7th 2008, 12:42 PM
snakeman11689
Quote:

Originally Posted by Mathstud28
I cannot see this picture, sorry. But I am about 99% sure that what I said above is what you are asking.

GOT IT THANKS (Rofl)