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Text File  |  1989-05-25  |  268b  |  10 lines

  1.  
  2.                                                2
  3. Plot the functions      cos x     and     1 - x / 2!     for x > 0.
  4.  
  5. Is one of them always greater than the other?
  6.  
  7. Make a conjecture involving these two functions, and an inequality.
  8.  
  9. Prove your conjecture.
  10.