In: Advanced Math
consider f(x) = ln(x) use polynomial degree of 5!!!
a) Approximate f(0.9) and f(1.1)
b) Use Taylor remainder to find an error formula for Taylor polynomial.
Give error bounds for each of the two approximations in (a).
Which of the two approximations in part (a) is closer to correct value?
c) Compare an actual error in each case with error bound in part (b).