Question

.

Answer 1

Find lim f(x) and lim f(x)
x-2- x-2+

Answer 2

isn't the graph telling you that it does exist

hollow dot vs filled dot

Answer 3

so the limit doesn't exist?

Answer 4

@IrishBoy123 ?

Answer 5

@ganeshie8 ?

Answer 6

there's a solid dot at x = 2 so the function has a value at x = 2; BUT the limits are 5 and -2, the hollow dots

Answer 7

so it could be defined like this:

Answer 8

I see how you got that but is that all I need to answer this question?

Answer 9

i should think so.

key is: with limits, we never get there, we just get closer and closer and closer...

with your limits, we never get to x = 2

and if we come at x=2 from x = 1.99999 we get a different answer than if we come at it from x = 2.0000001