Determine whether the statement is true or false. If it is true, explain why. If it is

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Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

If f (x) = 2x - x2 + 1/3 x3 - ∙ ∙ ∙ converges for all x, then f'''(0) = 2.

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