Exercise Solution 2.1
Formula [2.17] provides a quadratic polynomial approximation p2(x) for the function f(x).
[2.17]
We have:
[s1]
so
[s2]
[s3]
Valuing [s1], [s2], and [s3] at x[0] = 0, we obtain values 0, 1, and 2 respectively. Substituting these values into [2.17], we obtain the quadratic approximation
[s4]
