Consider the function ƒ : [-π, π] → R : x ↔ 1 + 2x + sin(2x) and extend it periodically to all of R. ii. State at which points in R the Fourier series is convergent and if it is conver- gent, state the limit.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the function f : [-π, π] → R : x ↔ 1 + 2x + sin(2x) and extend it
periodically to all of R.
ii. State at which points in R the Fourier series is convergent and if it is conver-
gent, state the limit.
Transcribed Image Text:Consider the function f : [-π, π] → R : x ↔ 1 + 2x + sin(2x) and extend it periodically to all of R. ii. State at which points in R the Fourier series is convergent and if it is conver- gent, state the limit.
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