If `f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c)`, `v=sqrt(c)` `-sqrt(c-1),(c >1),` then (a)`fog(u) < fog(v)` (b)`gof(u) < gof(v)`(c) `gof(u) > gof(v)` (d) `fog(u) > fog(v)`

If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) v=sqrt(c) -sqrt(c-1),(c >1), then fog(u) gof(v) (d) fog(u)

Let u=sqrt(c+1)-sqrt(c)andv=sqrt(c)-sqrt(c-1),cgt1 and let f(x)=In (1+x),AAx in (-1,oo). Statement I f(u)gtf(v),AAcgt1 because Statement II f(x) is increasing ffunction, hence for ugtv,f(u)gtf(v).

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("lim")_(xvec2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(x)-sqrt(2)))^(-1))i se q u a lto 1/2 (b) 2 (c) 1 (d) none of these

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