f X1, Y1, are two positive unequal numbers and Xp = (Xn- 1+ Yn– 1) and Prove that the sequences (xn) and ( y,) are monotonic and they nverge to the same limit. y,= Vx -1 Yn-1 V n22.
f X1, Y1, are two positive unequal numbers and Xp = (Xn- 1+ Yn– 1) and Prove that the sequences (xn) and ( y,) are monotonic and they nverge to the same limit. y,= Vx -1 Yn-1 V n22.
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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Transcribed Image Text:If x1, Y1, are two positive unequal numbers and
X„ = (xn- 1+ Yn – 1) and yn = Vx - 1 Yn-1 V n2 2.
Prove that the sequences (x, ) and ( y, ) are monotonic and they
converge to the same limit.
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