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Thank you all. You have been most helpful. Mitu
I have to admit that at first sight this looked funny; but after being (maybe) less superficial i'm seeing a meaning behind this:
If we accept your and my proceeding then we get:
(where i put n/2 or n+1/2 as k)
so one of us (or eventually both ) must be wrong.
How does this look? :0)
You see that, for example
What do you mean by a succession from N to C?
hi mitu, I would say it does not exist if your succession is from N to R;
I would say it is either 1 or non-existent...
what is the limit of (-1)^(1/n) when n tends to infinity? does it exist?