Let `f(x)` be defined for all `xgt0` and be continuous. Let `f(x)` satisfy `f((4x)/y)=f(x)-f(y)...
52 views · Published 11 October 2018 · 2:20 · Indexed 22 September 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Let `f(x)` be defined for all `xgt0` and be continuous. Let `f(x)` satisfy `f((4x)/y)=f(x)-f(y)` for all `x, y` and `f(4e)=1`, then (a) `f(x)=In4x` (b) `f(x)` is bounded (c) `lim_(x- gt0) f(1/x)=0` (d) `lim_(x- gt0)xf(x)=0`
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