Let an, A ∈R and suppose limn→∞ an = A =/ 0. a. Prove that there is an N so that if n ≥N then |an|> |A|/2 b. Prove that limn→∞ 1/an= 1/|A|
Let an, A ∈R and suppose limn→∞ an = A =/ 0. a. Prove that there is an N so that if n ≥N then |an|> |A|/2 b. Prove that limn→∞ 1/an= 1/|A|
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 44E
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Let an, A ∈R and suppose limn→∞ an = A =/ 0.
a. Prove that there is an N so that if n ≥N then |an|> |A|/2
b. Prove that limn→∞ 1/an= 1/|A|
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