1. If we use u² for the argument of the Fresnel Integrals, we can construct the normalized Fresnel Integrals. Prove that the power series expansion for the normalized Fresnel Integrals is C(t) = cos(²) du and S(t) = n=0 (-1) (π/2)²+4n+1 (4n+1)(2n)! = ſo' sin(™ª²)du = Σ (−1)″ (#/2)2n+1,4n+3 2 n=0 (4n+3) (2n+1)!

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