Question
Give an example of a sequence that converges to 0 with order alpha= 10
Give an example of a sequence that converges to 0 with order alpha=
10
Homework Answers
Answer #1
Answer: Define a sequence 
of
real numbers as
and
It follows from the definition of the sequence
that the order of the sequence is
.
Now, we show that the sequence
converges to 
For, let 
be a
positive real number. Since 
, if we take 
, then
whenever 
Thus, the sequence
converges to
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