How do you use the binomial series to expand #f(x)=(8+x)^(1/3)# ? Calculus Power Series Binomial Series 1 Answer Wataru Sep 22, 2014 Since #(1+x)^{1/3}=sum_{n=0}^infty((1/3),(n))x^n#, by replacting #x# by 7+x, #(8+x)^{1/3}=sum_{n=0}^infty((1/3),(n))(7+x)^n# Answer link Related questions How do you use the binomial series to expand #f(x)=1/sqrt(1-x^2)# ? How do you use the binomial series to expand the function #f(x)=(1-x)^(2/3)# ? How do you use the binomial series to expand #y=f(x)# as a power function? How do you use the binomial theorem to find the Maclaurin series for the function #y=f(x)# ? What is the formula for binomial expansion? Question #ae7e8 Write #(9x^2+26x+20)/((1+x)(2+x)^2)# as partial fraction, then expand as binomials up to and... See all questions in Binomial Series Impact of this question 5540 views around the world You can reuse this answer Creative Commons License