Let {x„}" and {ym}*=1 be convergent sequences with limits x and y, respectively. Suppose that all the y,'s and y are nonzero. Show that the sequence {xn/Yn}=1 converges to x/y. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Please solve Problem 12.8 (typefont is preferred) and explain each step. Thank you!

Let {x„}" and {ym}*=1 be convergent sequences with limits x and y, respectively.
Suppose that all the y,'s and y are nonzero. Show that the sequence {xn/Yn}=1
converges to x/y.
%3D
Transcribed Image Text:Let {x„}" and {ym}*=1 be convergent sequences with limits x and y, respectively. Suppose that all the y,'s and y are nonzero. Show that the sequence {xn/Yn}=1 converges to x/y. %3D
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