InterviewSolution
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InterviewSolution
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The coefficient of `x^(2012)` in `(1_x)/((1+x^(2))(1-x))` is -A. 2010B. 2011C. 2012D. 2013 |
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Answer» Correct Answer - B Coeff. Of `x^(2012)` `((1+x))/((1+x^(2))(1-x^(2)))` `=(1+x^(2))(1-x^(4))^(-1)` `=(1+2x+x^(2))(1-x^(4))^(-1)` Coeff. Of `x^(2012)+2"Coeff of x"^(2011)+"Coeff of x"^(2010)` in the expansion of `(1-x^(4))^(-1)` `x^(2011) and x^(2010)` not possible in `(1-x^(4))^(-1)` = only coeff. of `x^(2012)` in the expassion of `(1-x^(4))^(-1)` `.^(1+503-1)C_(503)=1` |
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