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Deepak singh 1 Best Answer
Refer attached
is it possible to find the lub & glb?
yes..since this sequence is convergent , so we can find its lub&glb..
but we can't say it converges unless we show the sequence is monotonic.
I found that the sequence is not monotonic so now can I say it's not possible to find lub and glb?
see here this sequence is not monotonic , and have inf and sup
if sequence is convergent , then we can found inf and sup always. .
can we find inf and sup if the sequence is not convergent?
we can find inf and sup even if sequence is not convergent . Take sequence (-1)^n