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Let ƒ(x) be a real differentiable function such that ƒ(0) = 1 and ƒ(x + y) = ƒ(x)ƒ'(y) + ƒ'(x) ƒ(y) for all x, y ∈ R . Then ∑ = 100 1 n e ) n ( f log is equal to :

1. 2384
2. 2525
3. 5220
4. 2406

Correct answer: 2525

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