2. Let f(x)= x² and let € > 0 be given. (a) Find 6 so that |x − 1| < 6 implies f(x) = f(1)| < €. (b) Find d so that |x − 2| < 6 implies |ƒ(x) − ƒ(2)| < €. (c) If n > 2 and you had to find a 6 so that |x - n < d implies f(x) - f(n)| < €, would d be larger or smaller than the 6 for parts (a) and (b), and why?.

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A:

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A: