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Let f(x) = ln x. Find the polynomial H3(x) of degree at most 3 such that H3(1) = f(1), H3(2) = f(2), H'3 (1) =
Let f(x) = ln x. Find the polynomial H3(x) of degree at most 3 such that H3(1) = f(1), H3(2) = f(2), H'3 (1) = f'(1), H'3 (2) = f'(2) by using a (generalized) divided-difference table. (Do not use decimal approximation for ln 2. Leave it in your answer.)
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