Consider f(x) = sin(2x) + cos(4x), 0 ≤ x ≤ 1 Construct a Langrange Interpolating polynomial of degree 3 approximating f over the interval [0.2, 0.8]. Find the actual error at x = 0.5?.thanks.

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Consider f(x) = sin(2x) + cos(4x), 0 ≤ x ≤ 1

Construct a Langrange Interpolating polynomial of degree 3 approximating f over
the interval [0.2, 0.8]. Find the actual error at x = 0.5?.thanks.

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