Let f (x) = ln(x2 + 2). Use Maple to determine the following. a. The Taylor polynomial

Question:

Let f (x) = ln(x2 + 2). Use Maple to determine the following.
a. The Taylor polynomial P3(x) for f expanded about x0 = 1.
b. The maximum error |f (x) − P3(x)|, for 0 ≤ x ≤ 1.
c. The Maclaurin polynomial 3(x) for f.
d. The maximum error |f (x) − 3(x)|, for 0 ≤ x ≤ 1.