(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

consider the sequence space l_{[tex]\infty[/tex]}(R) of bounded real sequences with the sup norm. If (X^{(n)}) is sequence in l_{[tex]\infty[/tex]}(R) andX[tex]\in[/tex] l_{[tex]\infty[/tex]}(R), what does it mean to say that (X^{(n)}) converges toX

let (X^{(n)}) be the sequence (1,1,---,1,0,0,---) with the first n coordinates 1 and the rest 0. And letxbe the sequence (1) with every coordinate 1. Prove that the sequence (X^{(n)}) does not converge tox

2. Relevant equations

3. The attempt at a solution

not sure where to start with this. any points to where i can look up info or where to start please?

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# Sequence space

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