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Consider the function f(x) = 24x³ + 3x² + 8x + 12. Show that f(x) is 0 (x-) determining a pair of witnesses that proves the big-0 relation. (Hint: When x > 1, note that x > log, x.)

Consider the function f(x) = 24x³ + 3x² + 8x + 12. Show that f(x) is 0 (x-) determining a pair of witnesses that proves the big-0 relation. (Hint: When x > 1, note that x > log, x.)

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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Consider the function f(x) = 24x³ + 3x² + 8x+ 12. Show that f(x) is 0 (x²) by determining a pair of witnesses that proves the big-0 relation. (Hint: When x > 1, note that x > log2 x.)
Transcribed Image Text:Consider the function f(x) = 24x³ + 3x² + 8x+ 12. Show that f(x) is 0 (x²) by determining a pair of witnesses that proves the big-0 relation. (Hint: When x > 1, note that x > log2 x.)
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