2.2 Let n(2, w) = p(w) - 20 (w). a Demonstrate that the multistep method)(2s of order if and only if n(z, ez) = cap+1 + 0 2p+2) 2 - 0, for some ER\\{ 0). b Prove that, subject to(0, 1)/ow = 0, there exists in a neighbourhood of the origin an analytic function (z) such that(z, un (2)) = 0 and w( ) =e-c on(0, 1) - 1 2p+1 + 0 2p+2) 2 - 0 Ow (2.18) c Show that (218) is true if the underlying method is convergeHint: Express On(0, 1)/ow in terms of the polynomial