Let `fRrarrR`be a positiveincreasing function with `lim_(xrarroo)f(3x)(f(x))=1`. Then `lim_(xrarroo)f(2x)(f(x))=`(1) `23`(2) `32`(3) 3 (4)1

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1.	Let `f:""RrarrR`be a positiveincreasing function with `lim_(xrarroo)f(3x)/(f(x))=1`. Then `lim_(xrarroo)f(2x)/(f(x))=`(1) `2/3`(2) `3/2`(3) 3 (4)1
Answer» `x>0 => 0 < f(2x) < f(2x) < f(3x) ` `0<1< (f(2x))/(f(x)) < (f(3x))/(f(x))` `1 <= lim_(x-> oo) (f(2x))/(f(x)) <= lim_(x->oo) (f(3x))/(f(x))` `1 <= lim_(x-> oo) (f(2x))/(f(x)) <= 1` `lim_(x-> oo) (f(2x))/(f(x)) = 1` answer

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Let `f:""RrarrR`be a positiveincreasing function with `lim_(xrarroo)f(3x)/(f(x))=1`. Then `lim_(xrarroo)f(2x)/(f(x))=`(1) `2/3`(2) `3/2`(3) 3 (4)1