Solution to Problem 259
Correct solutions came from Rocky; Alejandro Vellano, Spain; Gary Smith, USA; Sunil Sangwal; Philippe Fondanaiche, France; Dan Dima, Romania; Al Zimmermann, USA; Bill Webb, USA; Claudio Baiocchi, Italy; Ross Millikan, USA; Jacob Corzine, Bradley University via Germany; Aaron Kahn; Burkart Venzke, Germany; Lou Cairoli, USA; Farid Lian, Colombia; Juan Carlos Marivela, Spain; John Snyder, USA.
| The coordinates of P are (cos(t),
sin(t)); those of Q, (1-t,0).
The slope of the line through P and Q is sin(t)/(cos(t)-1+t).
As t goes to zero, we can use L'Hopital's rule to compute that the
slope approaches 1. Hence B approaches (0,-1).
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