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Analysis Homework #2 due Thursday, Nov. 4 1. Show that the set A = {x + 1 x : x > 0} is such that inf A = min A = 2. 2. Show that the set B = {x ∈ R : |2x − 3| < 1} has no maximum. 3. Let f be the function defined by the formula f (x) = x3 − 8x − 3 x−3 for all x ΜΈ= 3. Determine the minimum value attained by f . 4. Use the ε-δ definition of limits to show that lim (4x − 3) = 5. x→2 • You are going to work on these problems Friday in class. • When writing up solutions, write legibly and coherently. Use words, not just symbols. • Write your name and then MATHS/TP/TSM on the first page of your homework. • Your solutions may use any of the results stated in class (but nothing else). • NO LATE HOMEWORK WILL BE ACCEPTED.