x x0 x x1 L1 ( x)= y0+ y1 x0 x1 x1 x0解:根据lagrange型公式得 ( x - 12) ( x - 11) L1 ( x )=× 2.3979+× 2.4849 (11 - 12) (12 - 11)
(11. - 12) 75 (11. - 11) 75 L1 (11.75)=× 2.3979+× 2.4849 (11- 12) (12- 11)=2.4632,故ln(11.75)≈ 2.4632
x x0 x x1 L1 ( x)= y0+ y1 x0 x1 x1 x0解:根据lagrange型公式得 ( x - 12) ( x - 11) L1 ( x )=× 2.3979+× 2.4849 (11 - 12) (12 - 11)
(11. - 12) 75 (11. - 11) 75 L1 (11.75)=× 2.3979+× 2.4849 (11- 12) (12- 11)=2.4632,故ln(11.75)≈ 2.4632
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