Find the Lagrange interpolation polynomial P3 of degree 3 for f(1) = et with interpolation points chosen as equally-spaced points on I = [0, 1], including the end-points of I. Find also M >0 such that f(x)

Find the Lagrange interpolation polynomial P3 of degree 3 for f(1) = et with interpolation points chosen as equally-spaced points on I = [0, 1], including the end-points of I. Find also M >0 such that f(x) – P3(2) < M Vx € [0, 1]

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Find the Lagrange interpolation polynomial P3 of degree 3 for f(1) = et with interpolation points chosen as equally-spaced points on I = [0, 1], including the end-points of I. Find also M >0 such that f(x) – P3(2) < M Vx € [0, 1]

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Find the Lagrange interpolation polynomial P3 of degree 3 for f(1) = et with interpolation points chosen as equally-spaced points on I = [0, 1], including the end-points of I. Find also M &gt;0 such that f(x) – P3(2) &lt; M Vx € [0, 1]

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Find the Lagrange interpolation polynomial P3 of degree 3 for f(1) = et with interpolation points chosen as equally-spaced points on I = [0, 1], including the end-points of I. Find also M >0 such that f(x) – P3(2) < M Vx € [0, 1]