Question: 3(a) Prove that if a E C [2,3], then 3xo E [2,3] such that w a(x)ax = =in (16) a(x0). 2 (b) Determine whether or

3(a) Prove that if a E C [2,3], then 3xo E [2,3] such that w a(x)ax = =in (16) a(x0). 2 (b) Determine whether or not each of the following sequences of functions is uniformly convergent: (i) The sequence {n} defined by f. (x) e -n2x3 n2+sin2x (ZZ-) = XA n3+3nx (ii) The sequence {gn} defined by gn (x) = 4n3te-x2 13, 2 , x E (- 2,2)

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