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Let f(a)=g(a)=k and their n t h derivati...

Let `f(a)=g(a)=k` and their `n t h` derivatives exist and are not equal for some `ndot` If. `("lim")_(x->a)(f(a)g(x)-f(a)-g(a)f(x)+g(a))/(g(x)-f(x))=4`. Find the value of k.

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