Differentiation of a function

Calculus Level pending

Two differentiable functions f f and g g have the following values: f ( 1 ) = 1 , f ( 1 ) = 2 , g ( 1 ) = 1 , g ( 1 ) = 3. f(1)=-1, \ f'(1)=2, \ g(1)=1, \ g'(1)=3. What is the value of the following expression: lim x 1 f ( g ( x ) ) + 1 x 1 ? \lim_{x\rightarrow 1}\frac{f(g(x))+1}{x-1}?


The answer is 6.

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