Exercise. The Taylor polynomials are used to approximate the value of a function near the center. As long as we are "close enough" (which we will formalize in a later section), the higher order polynomials should give better approximations. Suppose that we want to approximate v1.2. The exact value is found using the function, provided we use the correct z-value. Since f(x) = v2x -1, the r-value that gives v 1.2 is z = 1.1 To find this, just set 2x - 1 = 1.2. v Thus, the exact answer to 6 decimal places is v1.2 = ? We can use the third degree Taylor polynomial to write down the first and second degree Taylor polynomials. We can then substitute r = 1.1 into these to approximate v1.2. In fact