|Share this thread:|
Feb1-11, 06:45 AM
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
|Register to reply|
|Personal epiphany about Taylor theorem, true?||Calculus||2|
|Theorem about p-groups, similar to 3rd Sylow Theorem||Linear & Abstract Algebra||1|
|Role of mean value theorem in fundamental theorem of calculus proof||Calculus & Beyond Homework||5|
|Alternative form for the multinomial theorem and a 'taylor series'||Calculus||0|
|Taylor theorem in n variables||Calculus||9|