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a) If ƒ and g are two T-periodic functions. a.1) Show that f(x) g (x) and f(x), with (g (x) ± 0) are also T— periodic. a.2) Show that if f is T- periodic and g is any fuction, then go f (x) = g(f(x)) is a T- periodic function.

a) If ƒ and g are two T-periodic functions. a.1) Show that f(x) g (x) and f(x), with (g (x) ± 0) are also T— periodic. a.2) Show that if f is T- periodic and g is any fuction, then go f (x) = g(f(x)) is a T- periodic function.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) If ƒ and g are two T-periodic functions. a.1) Show that f(x) g (x) and f(x), with (g (x) ± 0) are also T— periodic. a.2) Show that if f is T- periodic and g is any fuction, then go f (x) = g(f(x)) is a T- periodic function.
Transcribed Image Text:a) If ƒ and g are two T-periodic functions. a.1) Show that f(x) g (x) and f(x), with (g (x) ± 0) are also T— periodic. a.2) Show that if f is T- periodic and g is any fuction, then go f (x) = g(f(x)) is a T- periodic function.
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