Answer
a) True.
b) True
c) False.
d) False.
e) False.
f) True.
g) True.
Work Step by Step
a) True. Function f(x) approaches a single value as x approaches 0.
b) True. Function f(x) approaches to single value 0 as x approaches 0, so the limit is 0.
c) False. Function f(x) approaches to a single value 0 as x approaches 0, so the limit is 0.
d) False. Limit does not exit. Function f(x) does not approach to a single value as x approaches 1.
e) False. Limit does not exit. Function f(x) does not approach to a single value as x approaches 1.
f) True. The function does have a limit for each value in the interval, except at endpoints, which are excluded in the interval.
g) True. Limit does not exit. Function f(x) does not approach to a single value as x approaches 1.
