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If a, b, c and d are positive then `lim_(x to oo)(1+(1)/(a+bx))^(x+dx)` is eqqualA. `e^(d//b)`B. `e^(c//a)`C. `e^((c+d)//(a+b))`D. e |
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Answer» Correct Answer - A `L=underset(xtooo)lim(1+(1)/(a+bx))^(c+dx)" "["from"(1)^(oo)]` `=e^(underset(x tooo)lim(c+dx)/(a+bx))=e^(underset(x tooo)lim(c//x+d)/(a//x+b))` `=e^((0+d)/(0+d))=e^(d//b)` |
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