Somnath posted an Question
August 02, 2020 • 15:26 pm 30 points
  • IIT JAM
  • Mathematics (MA)

5. the sequence (un) is a bounded sequence and cr = min{ur, ur+1, ur+2, yr= max{ur, uy+1, ur+2,*, forr1. prove that (xn) and (y) are both monotone convergent se

5. The sequence (un) is a bounded sequence and Cr = min{Ur, Ur+1, Ur+2, yr= max{ur, Uy+1, Ur+2,*, forr1. Prove that (xn) and (y) are both monotone convergent sequences. If lim zn= lim yn = l prove that the sequence (Un) Converges to . Hint. n Tn+1 and yn Yn+1 for all n. Tn Un yn for all n.] aAuAnce.

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