(b) (3 points) Find a formula (in terms of n ) for ( P_{n}(0) ), where ( P_{n}(x) ) is the ( n^{ ext {th }} ) Legendre polynomial.
Added by Audrey H.
Step 1
Step 1: Recall the definition of the Legendre polynomial \( P_{n}(x) \) as the solution to the Legendre's differential equation: \[ (1-x^{2})y'' - 2xy' + n(n+1)y = 0 \] Show more…
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