Approximating functions by Taylor Polynomials.
Exercise 4.1. Find the 5th degree Taylor Polynomial centered at x = 0 for the following functions. Do this directly, by taking the appropriate derivatives etc. (a) sin(2x) (b) e5x (c) 1 1+x (d) ln (1 + x) Exercise 4.2. Find the 7th Taylor Polynomial centered at x = 0 for the following functions. Do this directly,
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