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7. The last exercise in the handout entitled Some Common Functions. Use Stirlings formula to prove that - (n+1)) 2 8. Exerci
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7)By using Stirling's formula

Gven that 2n talke 2n)! inc 2n (2n) n) hn Her by using Stirlgs fnlo ake2n Here Aodag to fmula . n -J2n AS h pn n (wle) 21Tn

8)By induction rule :

Given that for oln TaductronYyle . Fe hay e Hepo Here for n 1 tbr n value is Prm ved. -- he have к(и4) 2 he have -to ere SatCo (ru)i (tun) iSProved ) satSAes Hen the given ea Hen ce S true r all when nEN for :. nz ) ,3-Ue こK 1こKf1 i3 re Prove d UCnc

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