? =)(= Active Member Joined Jul 14, 2021 Messages 647 Gender Male HSC 2023 Feb 15, 2023 #1 is there anything wrong with my working?
M member 6003 Member Joined Apr 20, 2022 Messages 83 Gender Male HSC 2023 Feb 15, 2023 #2 Yes it should be correct. I would just prove that -1/(k+1) + 1/(k+1)^2 >= -1/(k+2) but it might be slightly longer.
Yes it should be correct. I would just prove that -1/(k+1) + 1/(k+1)^2 >= -1/(k+2) but it might be slightly longer.
M member 6003 Member Joined Apr 20, 2022 Messages 83 Gender Male HSC 2023 Feb 15, 2023 #3 this question is also kind of weird / its derivative of LHS>=RHS= 2 - 1/n which I think is a more well known inequality.
this question is also kind of weird / its derivative of LHS>=RHS= 2 - 1/n which I think is a more well known inequality.
C carrotsss New Member Joined May 7, 2022 Messages 4,461 Gender Male HSC 2023 Feb 16, 2023 #4 Nitpicky but you should really use brackets around k+2 in the third last fraction