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iit jee Grade: 12
        

Find the coefficient of xn in the expansion of log(1+x+x2)

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear


log(1+x+x2)


log (1-x3)/(1-x)


log (1-x3) - log (1-x)


case when n is a multiple of 3


coefficient of xn   is  -1/(n/3)      -(-1/n)


                                  = -2/n


 


when n is not a multiple of 3 then first term does not have a term xn


 so coefficient of xn  is -(-1/n)


                                        =1/n


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Badiuddin

7 years ago
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