Consider the limit of the rational function p(x)/q(x).

Question

Consider the limit of the rational function p(x)/q(x). What conclusion can you make if direct substitution produces each expression? Write a short paragraph explaining your results.

please help, i'm not really sure of how to do this.

Answer 1

a. 0/1 = 0

b. 1/1 = 1

c. could be ∞ or -∞ or nonexistent depending on the behavior of q(x) as x → c

d. 0/0 is an indeterminate form. Further analysis is needed to determine whether or not the limit exists.