8. Claim: if s_1 = 2 and s_n+1 = -1 + 2s_n for all n in N, then lim s_n = 1. iPa

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8. Claim: if s_1 = 2 and s_n+1 = -1 + 2s_n for all n in N, then lim s_n = 1.

iPad 3:13 PM Iearn.umuc.edu learn umuc.e Client Login IL... 9. Life Expecta Sample Job De Basic Guide to sandsduchon.o EXPERIENCE A 6 of 8 8. (7 pts) Claim: If s1 2 and sn+1 -1+ 2sm for all n in N, then lim sn 1. Proof: Let 1 3 2 and Sn+1 -1 n for all n in N. Taking the limit of both sides of the equation, we have lim n+1 lim (-1 2 sn) s lim s m +1 -1 2 lim sn Call the limit s We have s -1+ 2s, so, solving for s, we get 1 s We conclude that lim sm s 1. (a) Is the Claim true or false? Explain carefully. (b) Critique the proof. Is it complete? Does it prove the claim? What are the flaws, if any? Be very specific. #4. For All Part

Explanation / Answer

a) the proof is correct

B) There is no flaw in proof and it is the complete proof no critics

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