40. Let {r„}-1; {Yn}=1 be bounded sequences. Show that sup{r„}1+sup{yn}12 sup{rn + Yn}n=1 • 00

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40. Let {xn}_1; {Yn}1 be bounded sequences. Show that
n=1;
sup{r„}=1+sup{yn}=12 sup{Tn+ Yn}n=1 •
100
Transcribed Image Text:40. Let {xn}_1; {Yn}1 be bounded sequences. Show that n=1; sup{r„}=1+sup{yn}=12 sup{Tn+ Yn}n=1 • 100
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