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Answered Same Day Apr 15, 2021

Solution

Rajeswari answered on Apr 16 2021
160 Votes
a) Using log rules we have the given sequence
As n tends to infinity the limit would be
Ratio of leading terms i.e. ln (1) 0
Hence the sequence converges.
) To find sum
Hence diverges.
Limit n tends to infinity of the sequence is of the form
So use Lhopital rule
We get using first derivative as
Hence sequence converges
Sum = series =...
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