Show that this is true for , a= 1, and e= 2. (The point is that this says "forsomee> 0" rather than "foralle> 0".)

Did you mean "n> N"? Show that this is NOT true if you take , a= 0, e= .001, and N= 1. (The point is that this says "for each index N" rather than "forb. for each e>0 and each index N, |an - a| < e for all indices n>=nsomeindex N".)

Can anyone give me a hint or an outline about this. i am totally clueless about it.