Math 251
Jonny Comes
Winter 2006
Assignment #2
Due FRIDAY Jan. 20
Comments: For problems 3 and 4 from section 2.3 use the 11 limit laws
and be sure to indicate where each is used. You should do the additional
exercises before problems 30 and 32 from section 2.4.
From the Textbook:
•Section 2.3: 3, 4, 11, 12, 28, 37, 38
•Section 2.4: 1, 2, 4, 5, 30, 32
Additional Exercises:
1. Let f(x) = x2−3x−3. Fix ε > 0 and suppose 0 < δ < min{1, ε/8}.
Show that |f(x)−7|< ε whenever |x−5|< δ.
2. Let f(x) = x3. Fix ε > 0 and suppose 0 < δ < min{1, ε/7}. Show
that |f(x)−1|< ε whenever |x−1|< δ.