How do I do this? (1 Viewer)

SB257426

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I got part a )

For b) I managed to prove k^k < 1/4(k+1)^k+1 but i am struggling to prove the middle bit for some reason which shouldnt be that hard but idk why im struggling lol
 

SadCeliac

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dont you do this by considering under/over estimates of the exact area under the curve???
 

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