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Consider the expansion of `(sqrt(x)-(2)/(x^(2)))^(16)`A. There is a term independent of xB. Coefficinet of `x^(3)=480`C. There is no term independent of xD. Coefficient of `x^(3)=240` |
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Answer» Correct Answer - B::C `(sqrt(x)-(2)/(x^(2)))^(16)` `T_(r+1)=` .^(16)C_(r)(-(2)/(x^(2)))^(r)(sqrt(x))^(16-r)` `T_(r+1)=` .^(16)C_(r)(-2)^(r)(x)^((16-5r)/(2))` (i). `(16-5r)/(2)=0` (2). For Coeff of `x^(3).16-5r=6` `r=2` `impliesr=(16)/(5)` `T_(3)= .^(16)C_(2)(-2)^(2)=480` |
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