B Let r and y. be any two sequences of real numbers. Prove: If the surm rn+un converges and if the difference compute with (or even write) lim r, or lim y. until you have proven that these limits exist. Otherwise, you will be operating with undefined terms.) Vn converges, then I, converges and also yn converges. (Hint Do not

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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B Let r and y. be any twO sequences of real numbers. Prove: If the sum Intun converges and
if the difference r, - Vn converges, then In converges and also yn converges. (Hint Do not
compute with (or even write) lim r or lim yn until you have proven that these limits exist.
Otherwise, you will be operating with undefined terms.)
Transcribed Image Text:B Let r and y. be any twO sequences of real numbers. Prove: If the sum Intun converges and if the difference r, - Vn converges, then In converges and also yn converges. (Hint Do not compute with (or even write) lim r or lim yn until you have proven that these limits exist. Otherwise, you will be operating with undefined terms.)
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