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 limit as x approaches three from the left of f of x..

Answer 1

did they give you a graph?

Answer 2

Yes it looks like this:

Answer 3

a limit exists if you can approach the x value from the right and left side

Answer 4

are you attaching the graph?

Answer 5

yea give me a sec

Answer 6

Since it asking for a left handed limit, as x->3 and the system is defined as approaching the point (3,1) despite the jump, the left limit will approach that point

Answer 7

no because the right hand limit and the left hand limit are not the same, so therefore the limit DNE does not exist

Answer 8

I put that the limit does not exist but for x-> 3- i put 1

Answer 9

right hand limit is 3
left hand limit is 1

Answer 10

precal is correct that the left and right limits are not the same and thus it dne but the left and right limits do exist.

Answer 11

and for x->3+ i put 3

Answer 12

okay thank you guys :)

Answer 13

yes you are correct in your left hand and right hand limit values

Answer 14

it just seemed easy so i thought it was a trick question

Answer 15

well, it is an important concept, so don't be surprised if this type of thing happens rather often