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Reminder: ƒ€ O(g) if there exist integers C>0 and k>0 such that f(n) ≤ C g(n) when n>k. Select all pairs (C, k) that prove ƒ€ O(g) if f(n) = 6n² + 7n and g(n) = n². k=1, C-14 ☐ k-2, C-9 ☐ k-7, C-6 O k-2, C-8 Ok-7, C=7

Reminder: ƒ€ O(g) if there exist integers C>0 and k>0 such that f(n) ≤ C g(n) when n>k. Select all pairs (C, k) that prove ƒ€ O(g) if f(n) = 6n² + 7n and g(n) = n². k=1, C-14 ☐ k-2, C-9 ☐ k-7, C-6 O k-2, C-8 Ok-7, C=7

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 20E
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Reminder: ƒ€ O(g) if there exist integers C>0 and k>0 such that f(n) ≤ C g(n) when n>k. Select all pairs (C, k) that prove ƒ€ O(g) if f(n) = 6n² +7n and g(n) = n². k=1, C=14 k=2, C=9 k=7, C=6 k-2, C-8 k=7, C=7
Transcribed Image Text:Reminder: ƒ€ O(g) if there exist integers C>0 and k>0 such that f(n) ≤ C g(n) when n>k. Select all pairs (C, k) that prove ƒ€ O(g) if f(n) = 6n² +7n and g(n) = n². k=1, C=14 k=2, C=9 k=7, C=6 k-2, C-8 k=7, C=7
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