Taylorpolynom vom Grad D bei x_0 für Sinus(x)

Expression 4: "f" left parenthesis, "x" , right parenthesis equals sine left parenthesis, "x" , right parenthesis

Expression 5: "P" left parenthesis, "x" , right parenthesis equals "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis plus cosine left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis minus "T" left parenthesis, 2 , right parenthesis StartFraction, sin left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis squared Over 2 ! , EndFraction minus StartFraction, "T" left parenthesis, 3 , right parenthesis cos left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis cubed Over 3 ! , EndFraction plus StartFraction, "T" left parenthesis, 4 , right parenthesis sin left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 4th power Over 4 ! , EndFraction plus StartFraction, "T" left parenthesis, 5 , right parenthesis cos left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 5th power Over 5 ! , EndFraction minus StartFraction, "T" left parenthesis, 6 , right parenthesis sin left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 6th power Over 6 ! , EndFraction minus StartFraction, "T" left parenthesis, 7 , right parenthesis cos left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 7th power Over 7 ! , EndFraction plus StartFraction, "T" left parenthesis, 8 , right parenthesis sin left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 8th power Over 8 ! , EndFraction plus StartFraction, "T" left parenthesis, 9 , right parenthesis cos left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 9th power Over 9 ! , EndFraction minus StartFraction, "T" left parenthesis, 10 , right parenthesis sin left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 10th power Over 10 ! , EndFraction plus "P" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis

Étiquette masqué left parenthesis, "x" Subscript, 0 , Baseline , "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis

Étiquette

equals

left parenthesis, 1 , 0.8 4 1 4 7 0 9 8 , right parenthesis

Expression 7: "P" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals negative StartFraction, "T" left parenthesis, 11 , right parenthesis cos left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 11th power Over 11 ! , EndFraction plus StartFraction, "T" left parenthesis, 12 , right parenthesis sin left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 12th power Over 12 ! , EndFraction plus StartFraction, "T" left parenthesis, 13 , right parenthesis cos left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 13th power Over 13 ! , EndFraction minus StartFraction, "T" left parenthesis, 14 , right parenthesis sin left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 14th power Over 14 ! , EndFraction minus StartFraction, "T" left parenthesis, 15 , right parenthesis cos left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 15th power Over 15 ! , EndFraction plus StartFraction, "T" left parenthesis, 16 , right parenthesis sin left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 16th power Over 16 ! , EndFraction plus StartFraction, "T" left parenthesis, 17 , right parenthesis cos left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 17th power Over 17 ! , EndFraction minus StartFraction, "T" left parenthesis, 18 , right parenthesis sin left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 18th power Over 18 ! , EndFraction minus StartFraction, "T" left parenthesis, 19 , right parenthesis cos left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 19th power Over 19 ! , EndFraction plus StartFraction, "T" left parenthesis, 20 , right parenthesis sin left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis to the 20th power Over 20 ! , EndFraction

propulsé par