MTH 252-Week 10 Quiz (TUTORS OKAY!) 10.7b Taylor's Inequality Name: 1. Find the 3rd degree Taylor...

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MTH 252-Week 10 Quiz (TUTORS OKAY!) 10.7b Taylor's Inequality Name: 1. Find the 3rd degree Taylor Polynomial for f(x) = x centered around a = 2. Then determine the infinite Taylor Polynomial for f. Graph T3(x) and f(x) on the same screen along with E(x) = |f(x) - T3(x)|. What is the maximum error of T3(x) when 1.5 x 2.5 according to the graph? What does Taylor's Inequality say the maximum error is within over this same interval? Print and attach your graphs (all on the same screen please). MTH 252-Week 10 Quiz (TUTORS OKAY!) 10.7b Taylor's Inequality Name: 1. Find the 3rd degree Taylor Polynomial for f(x) = x centered around a = 2. Then determine the infinite Taylor Polynomial for f. Graph T3(x) and f(x) on the same screen along with E(x) = |f(x) - T3(x)|. What is the maximum error of T3(x) when 1.5 x 2.5 according to the graph? What does Taylor's Inequality say the maximum error is within over this same interval? Print and attach your graphs (all on the same screen please).