Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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In the seventh derivative of f(x) at x = 4, the only term contributing meaningfully will be the term corresponding to n = 7. All the earlier terms will get lost during differentiation. All the later terms will get lost as they will still contain some power of (x - 4) after differentiation 7 times, which will eventually become 0 on substituting x = 4.
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