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The Legendre Polynomials are a sequence of polynomials with applications in numerical analysis. They can be defined by the following recurrence relation: P0(x)=1P1(x)=xPn(x)=n1((2n1)xPn1(x)(n1)Pn2(x)) for any
The Legendre Polynomials are a sequence of polynomials with applications in numerical analysis. They can be defined by the following recurrence relation: P0(x)=1P1(x)=xPn(x)=n1((2n1)xPn1(x)(n1)Pn2(x)) for any natural number n>1 Write a function P(n,x) that returns the value of the nth Legendre polynomial evaluated at the point x. Hint: It may be helpful to define P(n,x) recursively
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