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5. Suppose fn : [0,7r] > R by fn(:c) 2 5mm. TL (a) This sequence of functions converges pointwise to a limit as n >

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5. Suppose fn : [0,7r] > R by fn(:c) 2 5mm\". TL (a) This sequence of functions converges pointwise to a limit as n > 00; what is the limit function f? (b) Does this sequence of functions converge uniformly? Please explain why or Why not. Hint: Find a uniform bound independent of a)

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