Question

Suppose that pn is a sequence of polynomials converging uniformly to f on [0,1] and f...

Suppose that pn is a sequence of polynomials converging uniformly to f on [0,1] and f is not a polynomial. Prove that the degrees of the pn are not bounded.

Hint: An Nth-degree polynomial p is uniquely determined by its values at N + 1 points via Lagrange's interpolation formula.

Math   Advanced-Math   
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Answer #1

As per theorem mentioned above detailed step by step solution is attached please like it

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