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Prove that if lim x(t) = X and lim y(t) = Y, then lim(x(t), y(t)) = (X, Y). t-a t-a t-a

Prove that if lim x(t) = X and lim y(t) = Y, then lim(x(t), y(t)) = (X, Y). t-a t-a t-a

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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Prove that if lim x(t) = X and lim y(t) = Y, then lim(x(t), y(t)) = (X,Y). t→a t-a t→a
Transcribed Image Text:Prove that if lim x(t) = X and lim y(t) = Y, then lim(x(t), y(t)) = (X,Y). t→a t-a t→a
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