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