Question

x g(x) g'(x) g''(x) g'''(x) g^(4)(x) 2 17 22 20 14 5 3 50 160/3 141/34...

x g(x) g'(x) g''(x) g'''(x) g^(4)(x)
2 17 22 20 14 5
3 50 160/3 141/34 21 151/8

a) write the third degree taylor polynomial P3 for g(x) at x=3 and use it to approximate g(3.1). Calc permitted

b) Use the Lagrange error bound to show that Ig(3.1)-p3(3.1)I<0.0006

Homework Answers

Answer #1

​​​recheck the fourth derivative value..

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