# Math Help - Taylor's Theorem Question

1. ## Taylor's Theorem Question

Use Taylor's Theorem to obtain an upper bound for the error of the approximation. Then calculate the exact value of the error. (Round your answers to five decimal places.)

e ≈ 1+ 1 + ((1^2)/2!) + ((1^3)/3!) + ((1^4)/4!) + ((1^5)/5!)

R5 <= .00378 (I understand how to do this part).
R5 = ??? (I need help on how to calculate the exact error value.)

Any help would be great, thanks!

2. Originally Posted by thedarkdragon65
Use Taylor's Theorem to obtain an upper bound for the error of the approximation. Then calculate the exact value of the error. (Round your answers to five decimal places.)

e ≈ 1+ 1 + ((1^2)/2!) + ((1^3)/3!) + ((1^4)/4!) + ((1^5)/5!)

R5 <= .00378 (I understand how to do this part).
R5 = ??? (I need help on how to calculate the exact error value.)

Any help would be great, thanks!

error=e-(2+1/2+1/6+1/24+1/120)

Can you finish off?