Taylor Series

ERRORS P 1(x ) P 2(x ) P 3(x ) P 4(x ) P 5(x ) P 6(x ) P 7(x ) x = 0 0.25000000 0.12500000 0.06250000 0.03125000 0.01562500 0.00781250 0.00390625 x = 0.4 0.06428571 0.01928571 0.00578571 0.00173571 0.00052071 0.00015621 0.00004686 x = 0.8 0.00555556 0.00055556 0.00005556 0.00000556 0.00000056 0.00000006 0.00000001 x = 1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 x = 1.4 0.01666667 -0.00333333 0.00066667 -0.00013333 0.00002667 -0.00000533 0.00000107 x = 1.8 0.05714286 -0.02285714 0.00914286 -0.00365714 0.00146286 -0.00058514 0.00023406 x = 2.2 0.11250000 -0.06750000 0.04050000 -0.02430000 0.01458000 -0.00874800 0.00524880 x = 3.2 0.28809524 -0.31690476 0.34859524 -0.38345476 0.42180024 -0.46398026 0.51037829 x = 3.4 0.32727273 -0.39272727 0.47127273 -0.56552727 0.67863273 -0.81435927 0.97723113