Calculating T2(x) at -1 with Error Less than 1/80 for f(x)=1/1-2x

[vickymath]

i really need help with this prob f(x)=1/1-2x i have to calculate T2(x) at -1 on the interval -1.5,-1 with an error less than 1/80.
I got f"'=48/(1-2x)^4 and f"'(-1.5)=3/16 and i can't get the error at 1/80 . Thank you

 

[mfb]

There are several methods to give an upper bound on the error. The one I would use requires the (n+1)th derivative at some point in the interval - take the point where the absolute value of the derivative has the largest value for an upper bound.

Does this help to fill the gaps in your answer?

 

[vickymath]

yep, thank you