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Text File  |  1989-05-25  |  213b  |  9 lines
  1.  
  2. Plot the functions     ln(1 + x)  and  x/(1 + x)    for x > 1.
  3.  
  4. Is one of them always greater than the other?
  5.  
  6. Make a conjecture involving these two functions, and an inequality.
  7.  
  8. Prove your conjecture.
  9.