Home
Class 11
MATHS
Let f(x) be defined for all xgt0 and be ...

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)=`l`n4x` (b) `f(x)` is bounded (c) `lim_(x->0) f(1/x)=0` (d) `lim_(x->0)xf(x)=0`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x) be defined for all x > 0 and be continuous. Let f(x) satisfies f(x/y)=f(x)-f(y) for all x,y and f(e)=1. Then

Let f(x) be defined for all x > 0 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) = In 4x(b) f(x) is bounded (c) lim_(x->0) f(1/x)=0 (d) lim_(x->0)xf(x)=0

Let f(x) be defined for all x > 0 and be continuous. Let f(x) satisfies f(x/y)=f(x)-f(y) for all x,y and f(e)=1. Then (a) f(x) is unbounded (b) f(1/x)vec 0 as x vec0 (c) f(x) is bounded (d) f(x)=(log)_e x

Let f(x) be defined for all x > 0 and be continuous. Let f(x) satisfies f(x/y)=f(x)-f(y) for all x,y and f(e)=1. Then (a) f(x) is unbounded (b) f(1/x)vec 0 as x vec0 (c) f(x) is bounded (d) f(x)=(log)_e x

Let f(x) be defined for all x>0 and be continuous.Let f(x) satisfies f((x)/(y))=f(x)-f(y) for all x,y and f(e)=1. Then (a) f(x) is bounded (d) (b) f((1)/(x))vec 0 as xvec 0 (c) f(x) is bounded (d) f(x)=(log)_(e)x