 
Summary: Math 1550 Fall 2005
Section 31 P. Achar
Exam 2 Solutions
October 4, 2005
Total points: 50 Time limit: 1 hour
No calculators, books, notes, or other aids are permitted. You must show your work and justify your
steps to receive full credit.
1. (4 points) Short answer. Warning: At least one of the questions below is a trick question. If you
think a question has no meaningful answer, write the words "TRICK QUESTION" as your answer.
(a) State both limit definitions of f (x).
Solution: lim
h0
f(a + h)  f(a)
h
and lim
xa
f(x)  f(a)
x  a
(b) Suppose the graph of h(x) passes through the point (5, 3), and the tangent line to the graph at
this point is given by y = 3x + 18. What is h (5)?
