# Sequence converge to what?

## Homework Statement

What does the sequence Sn={0n} for n large converge to?

## The Attempt at a Solution

I think it converges to 0 since each n is finite although arbitarily large.

Gib Z
Homework Helper
I don't understand, is every term in the series 0 times n? Because yes that is 0. Your attempt at the solution is right.

matt grime
Homework Helper
Please write out your questions properly. What you've written doesn't make any sense. Is 0n supposed to be 0*n, for n in N? It clashes with what you mean by using Sn, you see. It is not right to say each n is finite though arbitrarily large. Each n is not arbitrarily large, each n is just an integer, and doesn't vary at all. There is no need to invoke 'finiteness of n'. 0*n=0 for all n in N. That is just a simple fact, so S_n=0 for all n. Constant sequences obvisouly converge.

It should be n*0. So I was right.

HallsofIvy