1) {w|w w does not end in 01} Give a regular expression:
$$ 1^*0^* $$
2) {w|w w does not contain the substring 110} Give a regular expression:
$$ ((0∪10)^*1)^* $$
3) {w|w contains at least two 0s and at most one 1} Give a regular expression:
$$ 0^*10^* or \ 10^* or\ 010 \ or\ 000^*1 \ or\ 100\ or\ 0^*∪100^* $$
Do you agree? Thanks.
Some errors:
1) $\mathtt{010} \in L_1$ but is not represented by your regular expression.
2) $\mathtt{1101} \notin L_2$, but can be produced by your expression.
3) $\mathtt{1} \notin L_3$, but can be produced by your expression.
I hope this helps $\ddot\smile$