Select ALL of the following statements which are NOT correct. Let f(2) = {i, Jei, if x > 0, for r E JR. Then there exists a power series an x" such that lo, if x < 0. f (s) Σαη π", for a e [0, 1). O If a function f is continuous on (-1, 1), then f is a uniform limit of a sequence of polynomials on (-1, 1). If a power series an x" converges on a finite interval a, b, then it converges uniformly on a, b. n2 n=1 4" 20 27 15 m=1 5n 32 ||

Select ALL of the following statements which are NOT correct. Let f(2) = {i, Jei, if x > 0, for r E JR. Then there exists a power series an x" such that lo, if x < 0. f (s) Σαη π", for a e [0, 1). O If a function f is continuous on (-1, 1), then f is a uniform limit of a sequence of polynomials on (-1, 1). If a power series an x" converges on a finite interval a, b, then it converges uniformly on a, b. n2 n=1 4" 20 27 15 m=1 5n 32 ||

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.3: Factorization In F [x]

Problem 23E: Let f(x),g(x),h(x)F[x] where f(x) and g(x) are relatively prime. If h(x)f(x), prove that h(x) and...

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