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Let f : R ->(0,oo) and g : R -> R be ...

Let `f : R ->(0,oo)` and `g : R -> R` be twice differentiable functions such that f" and g" are continuous functions on R. suppose `f^(prime)(2)=g(2)=0,f^"(2)!=0` and `g'(2)!=0`, If `lim_(x->2) (f(x)g(x))/(f'(x)g'(x))=1` then

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