A periodic function of period 2n is defined as -n < x < 0 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 54E
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A periodic function of period 2n is defined as
f(x) = {-2x,
2х,
-T < x < 0
0 < x <n
i)
Sketch a graph of f (x) from – 2n to 3n.
ii)
Show that
cos(2n – 1)x
8
f(x) = Tt --
TT
n=1
(2п — 1)2
Transcribed Image Text:A periodic function of period 2n is defined as f(x) = {-2x, 2х, -T < x < 0 0 < x <n i) Sketch a graph of f (x) from – 2n to 3n. ii) Show that cos(2n – 1)x 8 f(x) = Tt -- TT n=1 (2п — 1)2
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