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(Solved): please do asap  7. Let (an)neN be the sequence with a = an+1 = (a) Show that (an)neN is bou ...



7. Let (an)neN be the sequence with a?
=
an+1 =
(a) Show that (an)neN is bounded above.
(b) Show by induction that (an)neN isplease do asap 

7. Let (an)neN be the sequence with a? = an+1 = (a) Show that (an)neN is bounded above. (b) Show by induction that (an)neN is increasing. (c) Explain why (an)neN converges in R. (d) Determine lim an (and justify your answer). n?? (e) What is sup{ann € N}? Justify your answer. = 2 and ?16an 15 for all n = : 1, 2, 3, .... [5 marks] [5 marks] [2 marks] [5 marks] [3 marks]


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