3. Consider f (x) = e", 0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 27SE: Prove that bx=exln(b) for positive b1 .
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3. Consider f(x) = e", 0< a <n.
(a) Find the half-range Fourier sine and Fourier cosine expansions of f and com-
pare their convergence at the endpoints r = 0 and a = T
(b) Evaluate the obtained Fourier cosine series of f at the endpoints and deduce
the sum of the resultant infinte series.
Transcribed Image Text:3. Consider f(x) = e", 0< a <n. (a) Find the half-range Fourier sine and Fourier cosine expansions of f and com- pare their convergence at the endpoints r = 0 and a = T (b) Evaluate the obtained Fourier cosine series of f at the endpoints and deduce the sum of the resultant infinte series.
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