How would I go about proving that if the sum from n=k to infinity of 1/n(n+1) is 1/k, then the sum from n=k to infinity of 1/(n+1)^2 < 1/k?
Look at each term of the first series and then look at each term in the second series. What do you notice and how can you use that to help with your proof?
Look at each term of the first series and then look at each term in the second series. What do you notice and how can you use that to help with your proof?
Well notice that the terms within the second one are smaller then the first one. So what will happen when you add them together givne that you're told the first set of terms add up to k1?
Please don't post full solutions to problems - it's against forum rules
(In this case you've actually gone into far too much detail - you can compare the sizes of terms in the two series much more easily!)
Ooo, sorry I had no idea. I'm new to TSR. And yeah I spotted it straight away but I wanted to properly explain it.. which i guess i should not be doing.. Can I ask why I cant post full solutions??