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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 linit.
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 linit.
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