InterviewSolution
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InterviewSolution
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Let `f(x)=lim_(nrarroo) (tan^(-1)(tanx))/(1+(log_(x)x)^(n)),x ne(2n+1)(pi)/(2)` thenA. `AA1ltxlt(pi)/(2),f(x)` is an identity functionB. `AA(pi)/(2)ltxltpi,` the graph of f(x) is a straight line having y intercept of `-pi`C. `AA(pi)/(2)ltxlte`, the graph of f(x) is a straight line having y intercept of `-pi`D. `AAxgte, f(x)` is a constant function |
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Answer» Correct Answer - A::C::D `AA1 ltx lt(pi)/(2), tan^(-1)tanx=x` `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` |
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