- #1
cmurphy
- 30
- 0
I need to prove that the limit of a constant sequence converges, using the definition of a limit.
This is what I have:
Let e > 0 be given.
Then |sn - s| < e
But sn = s for all sn, thus
|s - s| < e
|0| < e
0 < e
Thus N can be any number?
This proof is simple, but I am making it complicated! Please help!
This is what I have:
Let e > 0 be given.
Then |sn - s| < e
But sn = s for all sn, thus
|s - s| < e
|0| < e
0 < e
Thus N can be any number?
This proof is simple, but I am making it complicated! Please help!