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Question 1 If f(x) is a continuous and differentiable function and f(1/n) = 0, for all n ≥ 1 and n belongs to I, then Options 1. f(x) = 0, x E(0, 1] 2. f(0) = 0, f '(0) = 0 3. f '(x) = 0 = f "(x), xE (0, 1] 4. f(0) = 0 and f '(0) need not to be zero

Question 1
If f(x) is a continuous and differentiable function and f(1/n) = 0, for all n ≥ 1 and n belongs to I, then
Options
1. f(x) = 0, x E(0, 1]
2. f(0) = 0, f '(0) = 0
3. f '(x) = 0 = f "(x), xE (0, 1]
4. f(0) = 0 and f '(0) need not to be zero

Grade:12

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