- #1
stukbv
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Homework Statement
Consider the infinite series (1/n) * (xn) where x is a real noumber. Find all numbers x such that
i) the series converges,
ii) series converges absolutely
iii) diverges to + infinity
iiii) does not converge.
2. The attempt at a solution
For this, i know it does not converge for x = 1 and for x<-1 , and it does converge absolutely for x = -1, i also know it will diverge to [tex]\infty[/tex] for x>1 but i am very unsure as to what happens for x between 1 and - 1 ?
Thanks a lot