- #1
Bipolarity
- 776
- 2
This might sound like a dumb question, but it's actually not too obvious to me. If we know that [itex] \lim_{n→∞}S_{n} = L [/itex], can we prove that [itex] \lim_{n→∞}S_{n-1} = L [/itex] ? I'm actually using this as a lemma in one of my other proofs (the proof that the nth term of a convergent sum approaches 0), but can't get around the proof of this not-so-obvious-but-still-quite-intuitive lemma.
I wrote down the Cauchy-definitions of both these limits, but have no idea how to deduce one from the other.
Thanks for all the help!
BiP
I wrote down the Cauchy-definitions of both these limits, but have no idea how to deduce one from the other.
Thanks for all the help!
BiP