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Show that for f(n) = n³ - (ri'log, n) + 2n E O(n³ ) A give the constants: (c, n) B:arguing that your constants hold as n goes to by either "chaining up", or "chaining down", carefully treating the inequality as an equality and doing some algebra, or even weak induction. C. what is the minimum value for: c (in the definition of O() ) for this problem and is it an exclusive or inclusive minimum/bound?

Show that for f(n) = n³ - (ri'log, n) + 2n E O(n³ ) A give the constants: (c, n) B:arguing that your constants hold as n goes to by either "chaining up", or "chaining down", carefully treating the inequality as an equality and doing some algebra, or even weak induction. C. what is the minimum value for: c (in the definition of O() ) for this problem and is it an exclusive or inclusive minimum/bound?

Advanced Engineering Mathematics
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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Show that for f(n) = n° - (n`log n) + 2n E O(n³ ) A give the constants: (c, n) B:arguing that your constants hold as n goes to by either "chaining up", or "chaining down", carefully treating the inequality as an equality and doing some algebra, or even weak induction. C: what is the minimum value for: c (in the definition of O() ) for this problem and is it an exclusive or inclusive minimum/bound?
Transcribed Image Text:Show that for f(n) = n° - (n`log n) + 2n E O(n³ ) A give the constants: (c, n) B:arguing that your constants hold as n goes to by either "chaining up", or "chaining down", carefully treating the inequality as an equality and doing some algebra, or even weak induction. C: what is the minimum value for: c (in the definition of O() ) for this problem and is it an exclusive or inclusive minimum/bound?
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