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gtfitzpatrick
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Homework Statement
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) and X [tex]\in[/tex] l[tex]\infty[/tex](R), what does it mean to say that (X(n)) converges to X
let (X(n)) be the sequence (1,1,---,1,0,0,---) with the first n coordinates 1 and the rest 0. And let x be the sequence (1) with every coordinate 1. Prove that the sequence (X(n)) does not converge to x
Homework Equations
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?