Let p2(x) be the Lagrange polynomial which interpolating f(x) = x + x + 1 at...

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Let p2(x) be the Lagrange polynomial which interpolating f(x) = x³ + x + 1 at the points = a + (i+1)h, i = 0, 1, 2, where a is constant and h> 0. Find h such that the error at a = a is bounded above by 10-3. Let p2(x) be the Lagrange polynomial which interpolating f(x) = x³ + x + 1 at the points = a + (i+1)h, i = 0, 1, 2, where a is constant and h> 0. Find h such that the error at a = a is bounded above by 10-3.

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