please show all your work to help me better understand.

6. Consider the equation 0, if x is rational f(x) = 1. if x is irrational (This means that f (;) = 0 whereas f(v2) = 1. I would highly recommend that you try to sketch this graph before going forward with the problem) Using the language of an e- 5 proof, describe why lim f(x) does not exist for this function. You do not have to write a formal proof-I'm looking for some sentences and maybe a picture that uses this reasoning