When using a Taylor polynomial centered at x=a to approximate a differentiable function f, which of the following changes is most likely to decrease the approximation error at a fixed point x?
a) Increasing the distance between x and a while keeping the degree fixed
b) Decreasing the degree of the polynomial while keeping x fixed
c) Increasing the degree of the polynomial while keeping x fixed
d) Increasing both the distance between x and a and the degree of the polynomial by the same amount