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

Question

anonymous · Answer

attachment

anonymous · Answer

find

anonymous · Answer

@terenzreignz @punyeta @zepdrix

zepdrix · Answer

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

anonymous · Answer

it means the limit is approaching from the right?

zepdrix · Answer

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`.

zepdrix · Answer

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.

zepdrix · Answer

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

anonymous · Answer

yeah it makes sense

anonymous · Answer

so does that mean the limit is 3?

zepdrix · Answer

Yes :)

anonymous · Answer

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

zepdrix · Answer

no problem