BC 2,3
Problem Set #2
(Due Friday, September 13)
Name: ______________
Please show appropriate work – no calculator or computers – except to check work done by hand.
Work should be shown clearly, using correct mathematical notation. Please show enough work on all
problems (unless specified otherwise) so that others could follow your work and do a similar problem
without help. Collaboration is encouraged, but in the end, the work should be your own.

1.
Evaluate:
1  x2
 1  x4

BC 2,3
2.
Problem Set #2
(Due Friday, September 13)
Name: ______________
 x( f (a  x)  f (a  x)) 
Suppose that f is a differentiable function. Evaluate: lim 
.
2
2
x 0
  f (a  x)    f (a  x)  