# Exercise Solution 2.1

Formula [2.17] provides a quadratic polynomial approximation *p*_{2}(*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]