lim(an+1/an)>1 there exists a natural number such that lim (an+1/an)=>1+1/n..........the () are absolute values.....link in the ratio test...i dont know how to write it....sorry...would this change anything
lim(an+1/an)>1 there exists a natural number such that lim (an+1/an)=>1+1/n..........the () are absolute values.....link in the ratio test...i dont know how to write it....sorry...would this change anything
In our example is any number. You tell me, does it make a difference?
no I dont think so...its just the proof for lim (an+1/an)<1 looked a bit different in my notes, which yields <= 1-a/n for all n >= N....this is for the Raabe test
no I dont think so...its just the proof for lim (an+1/an)<1 looked a bit different in my notes, which yields <= 1-a/n for all n >= N....this is for the Raabe test
yes...the one you use once ur ratio test yields 1...so we try the raabe test for series
Ok. I understand what Raabe's test is. I am just wondering if your problem is not what it seems. I literally interpreted your question as if then there exists some such that