Question

Use the given graph to determine the limit, if it exists.

Answer 1

find

Answer 2

@terenzreignz @punyeta @zepdrix

Answer 3

You understand what the little plus sign on the 3 means, yes?

Answer 4

it means the limit is approaching from the right?

Answer 5

Yes, good :)

If we approach from the right, were on that straight part of the line.
As we move right towards x=3, we're approaching the upper `open circle`.

Answer 6

The idea with a limit is, we're getting closer and closer to the open circle without actually touching it.

So we don't care that the function is defined elsewhere (the black dot).
We just want to know where the wire is going.

Answer 7

Does that make sense or no?
As x approaches 3 from the right,
Our line is approaching y=3.

Answer 8

yeah it makes sense

Answer 9

so does that mean the limit is 3?

Answer 10

Yes :)

Answer 11

Oh I was making it way more complicated then it was. Thanks so much for your help!

Answer 12

no problem