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KM TUITION
www.kmtuition.co.uky KM TUITION r www.kmtuition.co.uk Upper and lower bounds.docx Page 1 of 8 Upper and Lower Bounds . In this exercise we are going to look at upper and lower bounds.
Max, Min, Sup, Inf - Purdue University
www.math.purdue.eduSince 1+ǫ is (by assumption) a lower bound for S and 5 ∈ S, 1+ǫ ≤ 5, showing that x ∈ (1,5]. Thus, 1 + ǫ is not a lower bound, proving that 1 is the greatest lower bound. Example 5. Find upper and lower bounds for y = f(x) for x ∈ [−1,1.5] where f(x) = −x4 +2x2 +x Use a graphing calculator to estimate the least upper bound and the