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→∞ n2 - 4 --------- 2n3 - 3n + 1. ii. limn→∞ √2n3 - 1n ----------------- 2n - 3 . iii. limn→∞ 6n2 - 2n4 ---------------------- 12n3 + 2n2 - 17n.
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→∞ n2 - 4 --------- 2n3 - 3n + 1. ii. limn→∞ √2n3 - 1n ----------------- 2n - 3 . iii. limn→∞ 6n2 - 2n4 ---------------------- 12n3 + 2n2 - 17n.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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→∞ n2 - 4
---------
2n3 - 3n + 1.
ii. limn→∞ √2n3 - 1n
-----------------
2n - 3 .
iii. limn→∞ 6n2 - 2n4
----------------------
12n3 + 2n2 - 17n.
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