InterviewSolution
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InterviewSolution
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If `lim_(xrarroo) (8x^3+mx^2)^(1//3)-nx` exists and is equal to 1 , then the vlaue of `(m)/(n)` isA. `(1)/(6)`B. 6C. 3D. `(1)/(3)` |
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Answer» Correct Answer - B It is given that `lim_(xtooo) {(8x^3+mx^2)^(1//3)-nx}` exists and is equal to 1 `rArr lim_(xto oo) {2x(1+(m)/(8x))^(1//3)-nx}` exists and is equal to 1 `rArr lim_(xtooo) {2x(1+(m)/(24x)-(m^2)/(576x^2)+......)-nx}` exists and is equal to 1 `rArr 2-n=0and, (m)/(12)=1` `rArr n=2 and m=12 rArr (m)/(n)=6`. |
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