Thread: Taylor's Inequality

ok i dont know how to find the error bound plz help?


(a) Approximate f by a Taylor polynomial with degree n at the number a.
T2(x) = Enter a mathematical expression.
12+(1/4)*(x-4)-(1/64)*(x-4)^2

(b) Use Taylor's Inequality to estimate the accuracy of the approximation f Tn(x) when x lies in the given interval. (Round the answer to six decimal places.)

i think i find M to be .001953125 to use in the formula (M/(n+1)!)|x-a|^n+1 but i dont know what to do on this anyone help? THANKS!

Originally Posted by ahawk1

ok i dont know how to find the error bound plz help?


(a) Approximate f by a Taylor polynomial with degree n at the number a.
T2(x) = Enter a mathematical expression.
12+(1/4)*(x-4)-(1/64)*(x-4)^2

(b) Use Taylor's Inequality to estimate the accuracy of the approximation f Tn(x) when x lies in the given interval. (Round the answer to six decimal places.)

i think i find M to be .001953125 to use in the formula (M/(n+1)!)|x-a|^n+1 but i dont know what to do on this anyone help? THANKS!

I believe the approximation of the function using a Taylor polynomial of degree 2 should be:

Originally Posted by icemanfan

I believe the approximation of the function using a Taylor polynomial of degree 2 should be:

i already had that in my answer up top but i need to know the error bound not that actual polynomial but thanks!