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Taylor theorem

by snowing_tsw
Tags: taylor, theorem
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Feb1-11, 06:45 AM
P: 1
1. The problem statement, all variables and given/known data
f(x) = (1+x)^(1/3)
Use taylor's theorem to write down an expression for the error R_3(x) = f(x) - P_3(x). In what interval does the unknown constant c lie?

I cant find what value is x where c lies between x and a.
2. Relevant equations
in previous question, we are required to find 6^(1/3) by doing 2(1- 1/4)^(1/3)

3. The attempt at a solution

i got a= 0 and c must lie between a and x.
and R_3(x) = 10x^4/[243(1-x)^(11/3)]

i know the first boundary of c must be zero but i cant find the other boundary
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