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Let f(x)>0 and g(x)>0 with f(x)>g(x)AA x...

Let `f(x)>0` and `g(x)>0` with `f(x)>g(x)AA x in R` are differentiable functions satisfying the conditions (i) `f(0)=2,g(0)=1`, (ii) `f'(x)=g(x)`, (iii) `g'(x)=f(x)` then

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