Rn(x) = Mx^(n+1)/(n+1)!
Where M is the max of the fourth derivative
f '''' (x) is increasing on (0,.3) so M is f''''(.3)
Rn(x)< f''''(.3) (.3)^4/(4!) for all x on (0.3)
This is part b. of the problem. I found T_3(x) but I really don't know the process to find the estimate of accuracy of the approximation.
HEre is the problem:
a) Approximate f by a Taylor polynomial with degree n at the number a.
My Taylor polynomial:
b) Use Taylor's Inequality to estimate the accuracy of the approximation when x lies in the given interval. Round to five decimal places.
The 4th derivative (not sure if this is correct):
*nevermind on this part, can't use zero because a=0
I really need someone to please take me through each step of how to find the accuracy using Taylor's Inequality, I am not having luck understanding it from my notes. Thanks!!