Exercise 9.23. Is there an analytic function f R→ R for which f(n) (0) = n for all n ≥ 0? If there is, find all such functions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Exercise 9.23. Is there an analytic function f : R→ R for which f(n) (0) = n for all n ≥ 0? If there is,
find all such functions.
Transcribed Image Text:Exercise 9.23. Is there an analytic function f : R→ R for which f(n) (0) = n for all n ≥ 0? If there is, find all such functions.
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