Math 2250 HW #3
Due 12:30 PM Thursday, August 29
Reading: Hass §2.5–2.6
Problems: Do the assignment “HW3” on WebWork. If you happen to have a different edition of
the textbook, the plots on page 95 that problems 1 and 2 refer to are:
In addition, write up solutions to the following problems and hand in your solutions in class on
Thursday.
1. For which values of d is the function
(
d2 x − 2d
h(x) =
12
if x ≥ 2
if x < 2
continuous at every number x?
2. Give an example of two functions f (x) and g(x) so that both f (x) and g(x) are discontinuous
at x = 0, but the product f (x) · g(x) is actually continuous at x = 0.
3. Evaluate the limit
3x3 − 12x2 − 1
.
x→∞ 9x3 + 2x + 13
lim
1