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Let f(x) = x² on [0, 2]. Compute the Fourier series f(n). Use Parseval's equality to compute: Σf(n)² 11

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.5: Applications Of Inner Product Spaces

Problem 91E

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Question

My subject is Real Analysis......

Let f(x) = x² on [0, 2]. Compute the Fourier series f(n). Use Parseval's equality to compute:
Σf(n)²
11

Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.

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