skeeter
Advanced Member
USA
5634 Posts 
Posted  09/13/2007 : 13:39:30

f(x) = arctan(x), centered at c = 1 ...
P_{3}(x) = f(1) + f'(1)(x1) + f"(1)(x1)^{2}/2 + f'''(x)(x1)^{3}/6 + R_{3}(x)
R_{3}(x) = f^{4}(z)(x  1)^{4}/24
f(x) = arctan(x) ... f(1) = /4 f'(x) = 1/(1 + x^{2}) ... f'(1) = 1/2 f''(x) = 2x/(1 + x^{2})^{2} ... f''(1) = 1/2 f'''(x) = (6x^{2}  2)/(1 + x^{2})^{3} ... f'''(1) = 1/2 
Edited by  skeeter on 09/13/2007 13:40:35 

