Register to reply

Taylor theorem

by snowing_tsw
Tags: taylor, theorem
Share this thread:
snowing_tsw
#1
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
Phys.Org News Partner Science news on Phys.org
An interesting glimpse into how future state-of-the-art electronics might work
Tissue regeneration using anti-inflammatory nanomolecules
C2D2 fighting corrosion

Register to reply

Related Discussions
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