Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits. Indicate clearly what results you are using. The right answer without a justifiable reason will be given zero credit. i. limn→∞   ( 2n2 + 2n)/(2n2 + 3n - 1) ii. limn→∞    (√3n2 + 6n)/(2n + 1) iii. limn→∞    (-2n3 + 1)/(3n3 + 5n2 - 5n)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.4: Applications Of Eigenvalues And Eigenvectors
Problem 10E: Find the limit if it exists of Anx1 as n approaches infinity, where A=[02120], and x1=[aa]
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Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits. Indicate clearly what results you are using. The right answer without a justifiable reason will be given zero credit.
i. limn→∞   ( 2n2 + 2n)/(2n2 + 3n - 1)
ii. limn→∞    (√3n2 + 6n)/(2n + 1)
iii. limn→∞    (-2n3 + 1)/(3n3 + 5n2 - 5n)

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