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Let τa denote the Taylor series of f (x) centered at a then the value of the expression 3 – 3 is equal to _______

Let τa denote the Taylor series of f (x) centered at a then the value of the expression 3 – 3 is equal to _______ Correct Answer f (x)

The Taylor polynomial of any function is unique at any center. Also observe that Taylor series of any function is some polynomial. Coupling these facts we have τa1(τa2(…….(f(x))….)) = f(x) Where a1, a2………….an are real numbers Hence the value of the given expression is = 3 – 3 = 3 – 3 = 0.

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