第1884题:近似计算
设 f(x)=x80−x40+x20f(x)=x^{80}-x^{40}+x^{20}f(x)=x80−x40+x20 ,用其按 (x−1)(x-1)(x−1) 的乘幂展开所得展开式的前三项计算 f(1.005)f(1.005)f(1.005) 的近似值为( ).
A. f(1.005)≈1.2371f(1.005) \approx 1.2371f(1.005)≈1.2371
B. f(1.005)≈1.3642 f(1.005) \approx 1.3642f(1.005)≈1.3642
C. f(1.005)≈1.8111f(1.005) \approx 1.8111f(1.005)≈1.8111
D. f(1.005)≈1.3973f(1.005) \approx 1.3973f(1.005)≈1.3973