We know that Taylor series is a rational function if and only if its coefficients satisfy the linear recurrence relation.
Can we put further conditions on the coefficients so that the Taylor series is a polynomial?
We know that Taylor series is a rational function if and only if its coefficients satisfy the linear recurrence relation.
Can we put further conditions on the coefficients so that the Taylor series is a polynomial?
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The Taylor series is a polynomial iff it has finitely many non-zero coefficients, by definition of polynomials.