Let f be a 2T-periodic smooth function. Let dN(x) : 1 1 + [cos(x) + cos(2x) +...+ cos(Nx)] || OS for some positive integer N. Show that lim N→∞ f(x)ôN(x)dr = f(0)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter6: Exponential Functions And Sequences
Section: Chapter Questions
Problem 7CA
Question
Let f be a 27-periodic smooth function. Let
dN(x)
1
1
+ [cos(x) + cos(2x) +...+ cos(Nx)]
for some positive integer N. Show that
lim
/ f(x)8N(x)dr = f(0)
Transcribed Image Text:Let f be a 27-periodic smooth function. Let dN(x) 1 1 + [cos(x) + cos(2x) +...+ cos(Nx)] for some positive integer N. Show that lim / f(x)8N(x)dr = f(0)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Vector Space
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage