Consider the function (f(x)= begin{cases}0 & text { if }-1 leq x leq 0, 2 &
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Consider the function \(f(x)= \begin{cases}0 & \text { if }-1 \leq x \leq 0, \\ 2 & \text { if } 0 \leq x \leq 1\end{cases}\)
Calculate the first two terms of the Fourier-Legendre series of \(f(x)\) over the interval \(-1 \leq x \leq 1\). What is the value of the complete Fourier-Legendre series of \(f(x)\) at \(x=0\) ?
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Related Book For
Advanced Mathematics For Engineering Students The Essential Toolbox
ISBN: 9780128236826
1st Edition
Authors: Brent J Lewis, Nihan Onder, E Nihan Onder, Andrew Prudil
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