Answer to Question #177373 in Calculus for Yusuf Idris

Question #177373

Obtain a four-term Taylor polynomial approximation valid near x=,0 for each (1+x)^-1/3. Estimate the range of x over which three term polynomials will give two decimal accuracy


1
Expert's answer
2021-05-11T12:20:14-0400

Given, expression is...


f(x)=(1+x)-1/3


On expanding the expression, we get the four term Taylor polynomial.


f(x)=1 -1/3*x+ 2/9*x2 _14/81*x3




Range. i.e. Range of convergence of x is |x|<1









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