Exercise 3.65: Use the series

  ln
  ⁡
  2
  
  =
  
  1
  −
  
    
      1
      2
    
  
  +
  
    
      1
      3
    
  
  −
  
    
      1
      4
    
  
  +
  …

to compute three sequences of approximations to the natural logarithm of 2, in
the same way we did above for 
  π
.  How rapidly do these sequences
converge?