The sequence is .
A sequence is monotonic if it is either increasing or decreasing.
\Check whether the sequence is increasing or decreasing.
\ for all
.
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.
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For .
\
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\
.
\
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For .
\
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.
\
.
Since for all
, the sequence is increasing.
Hence the sequence is monotonic.
\The sequence is :
.
\
The sequence is bounded if , where
is any finite number.
\
\
.
\
Therefore, the sequence is bounded.
\The sequence is increasing and bounded.
\
The sequence is increasing and bounded.