MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
A function p is undefined at x=0. Approximations produced by a calculator are shown.
x p(x)
−0.100 0.998
−0.010 0.99998
−0.001 0.9999998
0.001 1.0000002
0.010 1.00002
0.100 1.002
Based on the table, what is the value of x→0limp(x)?
(a) 0.999
(b) 1.002
(c) 1
(d) The limit does not exist