2) (1 point) The rst-degree approximation off(x)=x at x = 1 is L(x)=1+21(x1). Check that:

1. f(1)=L(1),and
2. f(1)=L(1)

For a better approximation than the linear one, let's try a second degree (quadratic) approximation P(x). In other words, we approximate a curve by a parabola instead of by a straight line. To do this, we want:

1. f(a)=L(a),and
2. f(a)=L(a),and
3. f(a)=L(a)