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Problem 3: Let the sequence (an)n∈N0 in R be given by the recursion an+1=31(an2+2). Determine all initial values a
Posted: Tue Jul 12, 2022 12:41 pm
by answerhappygod
- Problem 3 Let The Sequence An N N0 In R Be Given By The Recursion An 1 31 An2 2 Determine All Initial Values A 1 (49.93 KiB) Viewed 29 times
Problem 3: Let the sequence (an)n∈N0 in R be given by the recursion an+1=31(an2+2). Determine all initial values a0≥0 such that the sequence converges, and compute the limit of the sequence for those values of a0. Hint: Compute possible candidates for a limit and investigate the sequence with respect to monotonicity.