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Let f : R → R be a differentiable function satisfying f'(3) + f ' (2) = 0. Then lim (1+ f(3+x)-f(3)/1+f(2-x) -f(2))1/x where lim (x→0) is equal to

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Let f : R → R be a differentiable function satisfying f'(3) + f ' (2) = 0. Then lim (1+ f(3+x)-f(3)/1+f(2-x) -f(2))1/x  where lim  (x→0) is equal to

(1) 1  (2)  e –1 (3)  e (4)  e2 

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Correct option  (1) 1

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