已知f(x)=2sin(πx16).x为连续的

(1)基于Xo=0,X1=1,X2=3求二次差值多项式P2(x),从而趋近

f(2),f(2.4),f(4),f(3.5)

(2)基于Xo=0,X1=1,X2=3,X3=5求三次差值多项式P3(x),从而趋近于

f(2),f(2.4),f(4),f(3.5)-Known f (x) = 2sin (πx16) .x continuous (1) based on Xo = 0, X1 = 1, X2 = 3 seeking secondary differences polynomial P2 (x), thus approaching the f (2), f (2.4), f (4), f (3.5) (2) based on Xo = 0, X1 = 1, X2 = 3, X3 = 5 Cubic difference polynomial P3 (x), and thus tends to f (2 ), f (2.4), f (4), f (3.5)