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Let f(x)=(x^2)/(9-x^2) and l=number of i...

Let `f(x)=(x^2)/(9-x^2)` and `l`=number of integers in the domain of f (x) where f(x) is increasing `m`=number of solutions of `f (x)=sinx` `n`=least positive integral value of k for which `f(x)=k` posses exactly 3 different solutions then

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`f(x)=x^3/(9-x^2)`
`f'(x)>=0`
`f'(x)=(3x^2(9-x^2)+2x^4)/(9-x^2)^2>=0`
`27x^2-x^4>=0`
`x^2(27-x^4)>=0`
`x^2(x^2-27)<=0`
`x<=3sqrt3`
`l=9`
...
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