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If X1, Y1, are two positive unequal numbers and Xn = (xn- 1+ Yn – 1) and y, = Vx, – 1 Ya-1 V n 2 2. V n2 2. Prove that the sequences ( x, ) and (y, ) are monotonic and they converge to the same limit.

If X1, Y1, are two positive unequal numbers and Xn = (xn- 1+ Yn – 1) and y, = Vx, – 1 Ya-1 V n 2 2. V n2 2. Prove that the sequences ( x, ) and (y, ) are monotonic and they converge to the same limit.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If x1, y1, are two positive unequal numbers and Xp =; (xn – 1+ yn – 1) and yn= Vxn – 1 Yn– 1 V n22. Prove that the sequences ( xn) and ( y, ) are monotonic and they converge to the same limit.
Transcribed Image Text:If x1, y1, are two positive unequal numbers and Xp =; (xn – 1+ yn – 1) and yn= Vxn – 1 Yn– 1 V n22. Prove that the sequences ( xn) and ( y, ) are monotonic and they converge to the same limit.
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