Mathematics, 20.09.2019 21:30, yareli42
Show that a sequence {sn} coverages to a limit l if and only if the sequence {sn-l} coverages to zero.
Answers: 1
be a sequence that converges to 
. This means for any 
, there is some 
such that 
for all 
. From this inequality we see that 
, so it follows that 
.
be a sequence that converges to 0. This means 
, and we get the simpler inequality for free, 
.
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Show that a sequence {sn} coverages to a limit l if and only if the sequence {sn-l} coverages to zer...
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