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is there anything wrong with my working?
 

member 6003

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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.
 

member 6003

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this question is also kind of weird / its derivative of LHS>=RHS= 2 - 1/n which I think is a more well known inequality.
 

carrotsss

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Nitpicky but you should really use brackets around k+2 in the third last fraction
 

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