Quote:
Originally Posted by rudy235
assume the series
a ,a^{a}, a^^a^{a} and succesively...
For a=1 for instance, all terms are 1
thus the series is 1, 1, 1, .....1.1 it does not diverge.

If all the terms of a sequence are 1, the series obviously does diverge. 1 + 1 + 1 + 1+..... is not a finite sum.
Do you mean "sequence" everywhere that you said "series"?