Let (x)=0 for 0 < x < 1 and (x)=1 for 1 < x < 3. (a)
Chapter 5, Problem 5(choose chapter or problem)
Let (x)=0 for 0 < x < 1 and (x)=1 for 1 < x < 3. (a) Findthe rstfournonzerotermsofits Fouriercosine seriesexplicitly. (b) For each x (0 x 3), what is the sum of this series? (c) Does it converge to (x) in theL2 sense? Why? (d) Put x=0 to nd the sum 1+ 1 2 1 4 1 5 + 1 7 + 1 8 1 10 1 11 +.
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