Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits. (Please do not use any theorem not discussed in class!) Indicate clearly what results you are using. The right answer without a justifiable reason will be given zero credit. i. limn→∞   3n2 + 1                   ------------                       2n2 + 2n - 1. ii. limn→∞    √5n2 + 2n                      ------------                              n + 2   . iii. limn→∞   -3n3 + 4                      ------------                           3n3 + 2n2 - 1n.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
Question

Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits. (Please do not use any theorem not discussed in class!) Indicate clearly what results you are using. The right answer without a justifiable reason will be given zero credit.
i. limn→∞   3n2 + 1

                  ------------     


                 2n2 + 2- 1.
ii. limn→∞    √5n2 + 2n

                     ------------     
                        + 2   .
iii. limn→∞   -3n3 + 4

                     ------------     
                     3n3 + 2n2 - 1n.

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