Thm l1.2 Let (Csul be a (1) #(Sm.) sit Sue =s amolN ( Isu-si
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Expert Solution
Step 1
Given be a sequence.
(1).
To prove that such that is infinite for all .
Forward Proof:
Suppose such that .
Assume by contradiction that there exists an such that is a finite set.
Let , therefore for all , we have:
.
Hence for all , we have , which is contradiction the fact that .
Hence our assumption must be wrong.
Hence the set is a finite set for all .
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