12. the value of j(2x + 1)pg(x)dx is (a) 1 (b)-1 (c) 2 (d) 0 13. for the besselľ's function , (x), which among the following relations is correct? () -,(x) = (-

12. The value of J(2x + 1)Pg(x)dx is (a) 1 (b)-1 (c) 2 (d) 0 13. For the Besselľ's function , (x), which among the following relations is correct? () -,(x) = (-1)"/,) (6)1-,() = J.() (c)-(x)= -J,(*) (d) None of the above 14. The value of lim-o Jn() is a (c) 15. The Rodrigues's formula for Hermite polynomials is given by: (a) H,) = -1)" (6)H,) =(-1)"e** (o) H,x) = (-1)"e* -1) (d) H,(x) = e-* dx 2