1. SOLUTION 14 : Consider the function
i.) The graph of f is given below.
ii.) Determine the following limits.
a.) .
b.) .
c.) We have that does not exist since does not
equal .
d.) .
e.) .
f.) We have that since .
2. g.) We have that (The
numerator is always -1 and the denominator is always a positive number
approaching 0.) , so the limit does not exist.
h.) .
i.) We have that does not exist since does not
equal .
j.) .
k.) .
l.) .
Click HERE to return to the list of problems.
SOLUTION 15 : Consider the function
Determine the values of constants a and b so that exists. Begin by
computing one-sided limits at x=2 and setting each equal to 3. Thus,
and
.
Now solve the system of equations
a+2b = 3 and b-4a = 3 .
Thus,
a = 3-2b so that b-4(3-2b) = 3
iff b-12+ 8b = 3
iff 9b = 15
