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Maclaurin Expansion

This demonstrates how a Maclaurin Expansion can approximate a function very well, even quite far from zero, if enough terms are included
  1. How many terms would be necessary for the function of the Maclaurin Expansion to be a good approximation to when is:
    1. 0.5
    2. -1
    3. -2
    4. -4
    5. -8
  2. The Maclaurin Expansion is not a good way to approximate -100. Why not?