InterviewSolution
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InterviewSolution
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If `lim_(xto1) (1+ax+bx^(2))^((e)/((x-1)))=e^(3)`, then the value of bc is _________.A. `a=2`B. `a=1`C. `L=(1)/(64)`D. L=(1)/(32)` |
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Answer» Correct Answer - `(3)` `underset(xto1)lim(1+as+bx^(2))^((e)/(x-1))=e^(3)` or `e^(underset(xto1)lim(1+as+bx^(2)-1)^((e)/(x-1)))=e^(3)` or `e^(underset(xto1)lim(c(ax+bx^(2)))/(x-1))=e^(3)` or `underset(xto1)lim(c(ax+bx^(2)))/(x-1)=3` or `underset(hto0)lim(c"("a(1+h)+b(1+h)^(2)")")/(1+h-1)=3` or`underset(hto0)lim((ca+b)+(ac+2b)h+bh^(2))/(h)=3` or`ca+b=0 " and "ac+2b=3` or `b=3" and "ac=-3` Also, the form must be `1^(oo)` for which a+b=0, i.e.,a=-3" and "c=1`. |
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