trivial

Does not converge for any , since:(Pre-calc students cover your ears)

Then use it to show that

converges

Some numerical evidence:

Code:>k=2:100; >x=2; >s=1/logbase(x,k); > >S100=sum(s) 524.765 > > >k=2:1000; >x=2; >s=1/logbase(x,k); > >S1000=sum(s) 8529.4 > > > >k=2:10000; >x=2; >s=1/logbase(x,k); > >S10000=sum(s) 118458 >

RonL