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
recheck the fourth derivative value..
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