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Taylor Polynomials
If you have a graphing calculator or graphing software, you are urged to graph several approximations, and compare their graphs with that of ex. Example 3 Taylor Polynomial for ln x Find the 5th Taylor polynomial for f(x) = ln x around 1. Solution This time, a = 1.* We need five derivatives of f: f(x) = ln x so f(1) = 0 f'(x) = 1 x so f'(1) = 1 ...
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