Question

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

A coordinate graph is shown with a downward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and another horizontal line starting at the open point 3, -3.

Find limit as x approaches three from the right of f of x..

Answer 1

is it 3 and 1?

Answer 2

wait sorry that was the wrong question...
Use the given graph to determine the limit, if it exists.

A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, 3.

Find \[\lim_{x \rightarrow 3+} \]

Answer 3

@satellite73 @Abhisar @uri

Answer 4

@kittiwitti1

Answer 5

@Supreme_Kurt

Answer 6

Too late. I'm already here.
Now, the graph requires a little intuition. When the graph comes to the point x = 3
from the RIGHT

Where does it "seem to go" ?

Pro tip, forget about the path from the left and the other dots on x=3

Just focus on going from the RIGHT.

Now... where does it seem to go?

Answer 7

err to the y value of 3?

Answer 8

Precisely ^^

You usually start limits with intuitive approaches like these.

Soon it'll be second nature to you. With a little patience ;)

Well done.

Answer 9

ok so if I were to answer this question would I say that the limit of x->3 is equal to 3 and 1?

Answer 10

No. Why would you even put 1?

Answer 11

well there were 2 points so I wasn't sure on how to answer the question

Answer 12

Oh, baby girl...
(HAHA I get a kick out of saying that. Maybe you should let me address you by a proper name, next time. Kurt Rainer by the way, at your service ;) )

Anyway, I see your point. And the problem. 1 is a limit, true enough, but it's the limit as x goes to three from the LEFT.

And that's not what you're asked for ^^

Only the limit from the right.

Okay? :D

Answer 13

OH ok lol thanks:) but how do you know they are asking for the limit from the right side?

Answer 14

OH yeah...

Forgot to mention. Watch the small "fine print" :P

\[\Large \lim_{x\rightarrow a}\]means regular limit

\[\Large \lim_{x\rightarrow a^{\color{red}+}}\]means limit from the RIGHT

and


\[\Large \lim_{x\rightarrow a^{\color{red}-}}\]means limit from the LEFT


Keep that in mind ^^

Answer 15

OH lol I feel dumb:p haha thanks for your help:)
so for this graph...
it asks for the limit of lim->3+, would the answer be -3? :)

Answer 16

That's right!
You learn quickly ^_^

Answer 17

alright!!:) lol but thanks so much for your help ^_^ you rock

Answer 18

No problem :)