(15 pts) Consider the function f(x) = 3x² + 5x log₂ x +2. Show that f(x) is 0 (x²) by determining a pair of witnesses that proves the big-O relation. Show work completely and justify your answer for credit. (Hint: When x > 1, note that x > log₂ x.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 54E
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(15 pts) Consider the function f(x) = 3x² + 5x log₂ x +2. Show that f(x) is 0 (x²) by
determining a pair of witnesses that proves the big-O relation. Show work completely
and justify your answer for credit. (Hint: When x > 1, note that x > log₂ x.)
Transcribed Image Text:(15 pts) Consider the function f(x) = 3x² + 5x log₂ x +2. Show that f(x) is 0 (x²) by determining a pair of witnesses that proves the big-O relation. Show work completely and justify your answer for credit. (Hint: When x > 1, note that x > log₂ x.)
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