Math 229
Limits Worksheet Name:
1. For each of the following functions, first complete the table and then, based on the table, find the
given limits. If a limit does not exist, write โDNEโ.
(a) f(x) = x2โxโ6
xโ3
x2.9 2.99 2.999 2.9999 3.1 3.01 3.001 3.0001
f(x)
lim
xโ3โ
f(x) = lim
xโ3+f(x) = lim
xโ3f(x) =
(b) f(x) = |xโ3|
xโ3
x2.9 2.99 2.999 2.9999 3.1 3.01 3.001 3.0001
f(x)
lim
xโ3โ
f(x) = lim
xโ3+f(x) = lim
xโ3f(x) =
(c) f(x) = 1
x2
x-0.1 -0.01 -0.001 -0.0001 0.1 0.01 0.001 0.0001
f(x)
lim
xโ0โ
f(x) = lim
xโ0+f(x) = lim
xโ0f(x) =
