Let f : R → R be a differentiable function satisfying f'(3) + f'(2) = 0.Then \(\mathop {{\rm{lim}}}\limits_{x \to 0} {\left( {\frac{{1 + f\left( {3 + x} \right) - f\left( 3 \right)}}{{1 + f\left( {2 - x} \right) - f\left( 2 \right)}}} \right)^{\frac{1}{x}}}\)is equal to:

Let f : R → R be a differentiable function satisfying f'(3) + f'(2)

1.	Let f : R → R be a differentiable function satisfying f'(3) + f'(2) = 0.Then \(\mathop {{\rm{lim}}}\limits_{x \to 0} {\left( {\frac{{1 + f\left( {3 + x} \right) - f\left( 3 \right)}}{{1 + f\left( {2 - x} \right) - f\left( 2 \right)}}} \right)^{\frac{1}{x}}}\)is equal to:
A.	1
B.	e-1
C.	e
D.	e2
Answer» B. e-1

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