This course is called numerical analysis or numerical methods Q4) Let p(x) be the polynomial that interpolates

This course is called numerical analysis or numerical methods

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Q4) Let p(x) be the polynomial that interpolates f (x) at (*o, yo) and (x,, y1) .Prove that the error bound in this interpolation (for any x ) is 2 Mh f" (x)| on [*, x; ]. // where M is the maximum of 8. Q4) Let p(x) be the polynomial that interpolates f (x) at (*o, yo) and (x,, y1) .Prove that the error bound in this interpolation (for any x ) is 2 Mh f" (x)| on [*, x; ]. // where M is the maximum of 8.