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Taylor theorem 
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#1
Feb111, 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(1x)^(11/3)] i know the first boundary of c must be zero but i cant find the other boundary 


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