Use the Taylor polynomial of degree 2 for f(x) =
in powers of x - 4 to find an approximate value for
. Is the error in this approximation positive or negative? Use Taylor's Theorem to find a bound for the size of the error.
◦
≈ 2.024891, error > 0, |error| < 0.0000012
◦
≈ 2.024844, error < 0, |error| < 0.000002
◦
≈ 2.024844, error > 0, |error| < 0.000002
◦
≈ 2.024891, error < 0, |error| < 0.0000012
◦ none of the above