1.2. THE NOTION OF LIMIT
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• g(0) is not defined and lim
x→0
g(x) does not exist.
4. A bungee jumper dives from a tower at time t = 0. Her height s in feet at time t in
seconds is given by s(t) = 100 cos(0.75t) · e −0.2t + 100.
(a) Write an expression for the average velocity of the bungee jumper on the
interval
[1, 1 + h].
(b) Use computing technology to estimate the value of the limit as h → 0 of the
quantity you found in (a).
(c) What is the meaning of the value of the limit in (b)? What are its units?
21
• g(0) is not defined and lim
x→0
g(x) does not exist.
4. A bungee jumper dives from a tower at time t = 0. Her height s in feet at time t in
seconds is given by s(t) = 100 cos(0.75t) · e −0.2t + 100.
(a) Write an expression for the average velocity of the bungee jumper on the
interval
[1, 1 + h].
(b) Use computing technology to estimate the value of the limit as h → 0 of the
quantity you found in (a).
(c) What is the meaning of the value of the limit in (b)? What are its units?