taylor prob

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 cant 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

Similar Threads for: taylor prob
Thread	Forum	Replies
Shortcut to taylor series of f, given taylor series of g	Calculus	2
Properties of the Fourier series & integral (Taylor, Modern Physics, 2 ed, Prob 6.33)	Advanced Physics Homework	11
[URGENT] Taylor Series without using the built-in MATLAB "Taylor's Function"	Math & Science Software	1
prob.	Advanced Physics Homework	3
Taylor series prob	Differential Equations	3

vickymath	taylor prob Tweet 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 cant get the error at 1/80 . Thank you

mfb Mentor	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?