Recall that lim⟶()=
means:
For all >0 there is a >0 such that for all satisfying 0<|−|< we have that |()−|<.
What if the limit does not equal ? Think about what the means in , language.
Consider the following phrases:
1. >0
2. >0
3. 0<|−|<
4. |()−|>
5. but
6. such that for all
7. there is some
8. there is some such that

Order these statements so that they form a rigorous assertion that
lim⟶()≠
and enter their reference numbers in the appropriate sequence in these boxes: