MATH 103
Recommended problems from Exercise Set 3.4 (in Faires & DeFranza)
- Do a couple from the group 1-6.
- Do a couple from the group 7-10. Problem 9 is interesting in that
it illustrates the fact that if, after cancelling all factors common
to the numerator and denominator, x-a remains a factor of the
denominator, then x=a is a vertical asymptote,
regardless of whether x-a was a factor of the "original"
numerator. To put it another way, if x=a is a zero of
both numerator and denominator, but it has higher multiplicity
with respect to the denominator, then x=a is a vertical
asymptote of the function.
- Do a couple from the group 11-16.
- Do a couple from the group 17-30.
- Do a couple from the group 31-36.
Answers to the odd-numbered problems appear near the back of the textbook.