Construct two simple examples for any positive integer n, Basic Computer Science

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Construct two simple examples for any positive integer n

Construct two simple examples for any positive integer n, one where interpolation at n + 1 equidistant points is more accurate than interpolation at n+1 Chebyshev points and one where Chebyshev interpolation is more accurate.
Your examples should be convincing without the aid of any computer implementation.

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Basic Computer Science: Construct two simple examples for any positive integer n

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Basic Computer Science: Construct two simple examples for any positive integer n

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