Question: For each n E N, define a fn : D = (-co, 1] - R by fn(2) = 1 - nx /2 n +1/

$(-co, 1] - R by fn(2) = 1 - nx \ /2$

n +1/ , n21. 1. Determine, with motivation, lim fn(x) on D.

that lim f(x) in Ques- n-+0o tion 1 exists.\f4. Does the sequence

For each n E N, define a fn : D = (-co, 1] - R by fn(2) = 1 - nx \ /2 n +1/ , n21. 1. Determine, with motivation, lim fn(x) on D. n-+00 2. Find, with motivation, the largest set Do C D such that lim f(x) in Ques- n-+0o tion 1 exists.\f4. Does the sequence (fail converge uniformly on DD to the limit function f determined in Question 2 above? Justify your

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