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`lim_(x to0) ((1+a^(3))+8e^(1//x))/(1+(1-b^(3))e^(1//x))=2 " then "-`A. `a= 1,b=2`B. `a= 1, b=(-3)^(1//3)`C. `a=2, b=3 (1)/(3)`D. None of these |
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Answer» Correct Answer - B `underset(h to 0)("lim") ((1+a^(3)) +8e^(1//h))/(1+(1-b^(3))e^(1//h))=2` `underset(h to 0)("lim") ((1+a^(3))/(e^(1//h))+8)/((1)/(e^(1//h))+1-b^(3)) =2 rArr (8)/(1-b^(3)) =2` `rArr b^(3) =- e b=- 3^(1//3)` `L.H.L` `underset(h to 0)("lim") ((1+a^(3)) + 8e^(-1//h))/(1+(1-b^(3))e^(-1//h))=2 rArr 1+ a^(3) =2` `rArr a=1` |
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