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Answer :
The function f(x) = 3x^25 + 7x^3 is already a power series centered at 0, where each term follows the form c_n * x^n.
The function in the question is of the form f(x) = 3x25 + 7x3. It's already a type of polynomial, which is a form of power series in mathematics, centered at 0. Each term of the function is of the form cnxn where cn is a constant and n is a non-negative integer.
The term 3x25 represents a power series term where cn = 3 and n = 25. Similarly, the term 7x3 is a power series term where cn = 7 and n = 3.
So, the power series representation of f(x), centered at 0, is already given in the function itself: f(x) = 3x25 + 7x3.
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