Expand the following functions in Legendre series. -1 < x < 0 0 < x <...

 

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Expand the following functions in Legendre series. -1 < x < 0 0 < x < 1 |0, —1 <х <0 0 < x < 1 1. f(x) 2. f(x) 1, x, 3. f(x) = P3(x) f(x)| 4. f(x) = arc sin x 5. Expand the following functions in Legendre series. -1 < x < 0 0 < x < 1 |0, —1 <х <0 0 < x < 1 1. f(x) 2. f(x) 1, x, 3. f(x) = P3(x) f(x)| 4. f(x) = arc sin x 5.