Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Please only do this typewritten, so everything is visible. I have a hard time reading handwritten solutions. i hope you understand. thank you. i will upvote

(4) Suppose xo = 2√3, yo = 3, Prove that Xn 2xn-14-1 Xn-1+Yn-1 and Yn √n Yn-1 for all n € N. (b) x = y and 3.14155 <x<3.14161. (x is actually ) Note: If (xn) is monotonically decreasing (resp. montonically increasing) and converges to x then we write xnx (resp. xnx). Thus, proving this requires the use of the Monotone Convergence Theorem. B
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Transcribed Image Text:(4) Suppose xo = 2√3, yo = 3, Prove that Xn 2xn-14-1 Xn-1+Yn-1 and Yn √n Yn-1 for all n € N. (b) x = y and 3.14155 <x<3.14161. (x is actually ) Note: If (xn) is monotonically decreasing (resp. montonically increasing) and converges to x then we write xnx (resp. xnx). Thus, proving this requires the use of the Monotone Convergence Theorem. B
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