Prove that: L₁ (1-x²) PPdx 0, 2n(n+1) 2n +1 mn. m = 11. m, ne N

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 15E
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Prove that:
L₁₁ (1-x²) P₁ P²dx =
0.
2n(n+1)
2n + 1
mn.
m = 1.
m, 11 € N
Transcribed Image Text:Prove that: L₁₁ (1-x²) P₁ P²dx = 0. 2n(n+1) 2n + 1 mn. m = 1. m, 11 € N
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