(a) Let {f(x)} be a sequence of non-negative functions for a ESCR such that > 0,...

 

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(a) Let {f(x)} be a sequence of non-negative functions for a ESCR such that > 0, and fn → 0 uniformly on S. Prove that (-1)-f(x) converges 00 fi > f2 ≥ uniformly on S. (b) Use part (a) to determine if answer. ….. n=1 (-1)-1 √n(n+x) n=1 converges uniformly on (0, ∞o). Justify your (a) Let {f(x)} be a sequence of non-negative functions for a ESCR such that > 0, and fn → 0 uniformly on S. Prove that (-1)-f(x) converges 00 fi > f2 ≥ uniformly on S. (b) Use part (a) to determine if answer. ….. n=1 (-1)-1 √n(n+x) n=1 converges uniformly on (0, ∞o). Justify your