(Solved): Exercise 6 Use Taylor's Theorem (Theorem 12 Section 4.10) with error term to evaluate dc 0.1 6** s ...

Exercise 6 Use Taylor's Theorem (Theorem 12 Section 4.10) with error term to evaluate dc 0.1 6** such that the error of the estimated integral is less than 10-4. Hint: Use the Maclaurin expantion to write e-* = P. (2)+ E. (c) and find the maximal error of the function values E = max E2) O< <0.1 0.1 then P. (2) di and thus you need 0.1E < 10-4 16 14--0< (ez -)aul -\." E,(x)do <0.15