[Hand out timesheet; 241 too!]
Revised duedate for assigment #5: 10/10 is a holiday!
So
it’s due 10/12.
Don’t feel bad about making mistakes on the True/False
questions!
They’re designed to be tricky.
Better to make
these mistakes now (and thereby learn not to make them
again) than to make these mistakes on the midterm!
13. “A function can have two different horizontal
asymptotes.”
..?.
.
True.
One example is
f
(
x
) = arctan
x
; another example (of a
trivial kind) is the Heaviside function.
(If
f
(
x
) is a rational
function of
x
, then
f
(
x
) can’t have two horizontal
asymptotes, though you aren't responsible for knowing
this.)
For another example, see Figure 10 in Section 1.6.
14. “If
f
has domain [0,
∞
) and no horizontal asymptote,
then lim
x
→∞
f
(
x
) =
∞
or lim
x
→∞
f
(
x
) = –
∞
.”
..?.
.
False.
Example: The function
f
(
x
) =
x
sin
x
.
This function
is said to diverge by oscillation
.
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View Full DocumentAnother example is
f
(
x
) = sin
x
.
15. “If the line
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 Fall '11
 Staff
 Calculus, Intermediate Value Theorem, Mathematical analysis, Limit of a function

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