Question

Use the graph below to list the x value(s) where the limits as x approaches from the left and right of those integer values(s) are not equal.

Answer 1

Can you please help me @zepdrix

Answer 2

Can you please help me one more time? @agent0smith

Answer 3

This is what it looks like when the left and right hand limits aren't equal http://www.cwladis.com/math301/lecture%20images/jumpdiscontinuity.gif

This is what it looks like when the left and right hand limits ARE equal https://sites.google.com/site/calculusdigitalbookproject2748/_/rsrc/1446120369394/continuity/discontinuous-functions/removable-discontinuity.png

Answer 4

Okay in the graphs you show me the graph is definitely not equal but how would I find the x values?

Answer 5

@agent0smith

Answer 6

??? @agent0smith

Answer 7

I assume you know how to read x-values from a graph. What I gave you above should help you identify which points have left and right limits not equal.

Answer 8

That's the thing I don't understand that.

Answer 9

What?

Answer 10

which points have left and right limits not equal

Answer 11

Here's some more examples where the left and right hand limits are not equal
https://classconnection.s3.amazonaws.com/145/flashcards/1130145/jpg/jump_discontinuity1363569340198.jpg

http://www.sagemath.org/calctut/calctut-pix/onesided01.png (at x=2)

Answer 12

Notice how the graph isn't "connected" at the point

Answer 13

Oh okay. So where there is a break in the graph?

Answer 14

Yes

Answer 15

But not JUST a break, it has to be completely disconnected