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Let f : R to R be a differentiable func...

Let `f : R to R ` be a differentiable function satisfying `f'(3) + f'(2) = 0 `, Then `underset(x to 0) lim ((1+f(3+x)-f(3))/(1+f(2-x)-f(2)))^(1/x) ` is equal to

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To solve the limit problem, we start with the given limit expression: \[ L = \lim_{x \to 0} \left( \frac{1 + f(3+x) - f(3)}{1 + f(2-x) - f(2)} \right)^{\frac{1}{x}} \] ### Step 1: Simplifying the Limit Expression ...
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