Prove or disprove (by counterex.)
is unif. cont. on (0,1) and prove or disprove
is unif. cont. on (0,1) for all nonzer0
So I tried getting both into Lipschitz but was not successful. So all I know to do is for the first one is say: Given
set
. If
, then
(it's always going to be < 2 because our interval is (0,1)). Then I say if
and
then
.... How do I know what I should set delta to be? Also I am totally lost starting here. Let me know if these is even remotely on the right track because I don't know for sure. Thank you so much.