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If p_n (x) be legendre polynomial, then show that, (2n + 1) x p_n (x) = (n + 1) p_(n+1) (x) + np_(n-1) (x)
Prove that, ∫_(-1)^1▒〖p_n (x) 〗 dx = 0 if n ≥ 1
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