10.Assume that f: R2 R has continuous first order partial derivatives on R2. Let E R be given. Consider the function S(a + h,b+k)-f(a,b)-hf-(a, b) – k fy(a, b) V + k2 E(h, k): %3D (a) Prove that there are e1,02 E (0,1) such that |Elbk) s If.(a + 0,h,b + k) - f.(a,b)| + If,(a,b+ ů,k) - f,(a,b)|. Where are not 0 (b) Prove that lim E (h, k)| = 0. ><0,0>

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