Question

how do you know when a limit doesnt exist?

Answer 1

when the limit from the left side is not equal to the limit from the right side

Answer 2

When the one-sided limits are different, i.e:\[\bf \lim_{x \rightarrow a^-}f(x) \ne \lim_{x \rightarrow a^+}f(x)\]

Answer 3

how do you find whether or not either limit (from the left or the right) isnt equal to each other?

Answer 4

Right...so imagine you're looking at this picture...using your finger (not needed lol) go from the LEFT side of the graph...until you get to 0...looks like the line approaches maybe 2....now take your finger...and go from the RIGHT side of the graph to 0.....NOW it looks like the line approaches maybe 5 or so...

*Would have been better if I put numbers on the graph*

As you can see....the limit from the left (2) doesn't equal the limit from the right (5) so the limit does not exist

Answer 5

when the function looks something like this

Answer 6

There we go *now with numbers* :)

Answer 7

oh ok @johnweldon1993. youre like a really good explainer.

Answer 8

lol just trying to make it easy to get :) do you understand it though?

Answer 9

ya. thankssss

Answer 10

Great! No problem :)