InterviewSolution
Saved Bookmarks
| 1. |
Let f(x)=lim_(nrarroo) (tan^(-1)(tanx))/(1+(log_(x)x)^(n)),x ne(2n+1)(pi)/(2) then |
|
Answer» `AA1ltxlt(pi)/(2),f(x)` is an identity function `and 0 lt log_(e)lt log_(e).(pi)/(2)lt1` `rArr""f(x)=x` `AA(pi)/(2)ltx lte, tan^(-1)tanx=x-pi` and `0lt log_(e)XLT1` `THEREFORE""(log_(e)x)^(n)=0` `rArr""f(x)=x-pi` and for `x gt e, log_(e)xlt1, therefore (log_(e)x)^(n)rarroo` `rArr""f(x)=0` |
|