Answer
a) Limit does not exist.
b) Limit exists (1).
c) Limit exists (0).
d) Limit exists (0.5).
Work Step by Step
a) Limit does not exist. Function g(x) is not approaching a single value as x approaches to 1.
b) Limit exists. Function g(x) approaches to 1 as x approaches to 2.
c) Limit exists. Function g(x) approaches to 0 as x approaches to 3.
d) Limit exists. Function g(x) approaches to 0.5 as x approaches to 2.5.