(1) What is the co-efficient of the term independent of x in the series[ (1/2)(1/x)^1/3 +(1/x)^(-1/5)]^8. where ^ denotes "to the power of".

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saurabh singhal

  • Jun 18th, 2006
 

(1/2x^-1/3 + x^1/5)^8  is a binomial expression n the general term is c(8,r)(1/2x^-r/3)(x^r/5) so if we want the term independent f x the xoeff of x =0 s we have -5r+24-3r=0 sso x=3 hence the coefficirnt of the independent rterm is 7

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