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Which of the following is incorrect : |
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Answer» `(pi)^(1//pi)lt(e)^(1//e)` `log f(x) = (log^(x))/(x) "" rArr"" (f(x))/(f(x)) = (1-Inx)/(x^(2))` ![]() `f.(x) = ((1-In x)/(x^(2))) . x^((1)/(X))` For (x) is increasing for `0 lt xlt e` And decreasing for `x gt e` `pi^((1)/(pi)) lt e^((1)/(e))"" because pi gt e & f (x) darr` `10^((1)/(10)) lt 11^((1)/(11) "" because 11 gt 10 gt e ,"" f(x) darr` The function is increasing for `x lt e` , therefore`f(In 2) lt f (In 3) & f(tan^(-1) 2) lt f( tan^(-1)3)` |
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