#### Answer

a.) true
b.) True
c.) False
d.)False
e.) False
f)True
g) True

#### Work Step by Step

a.) True, because if you follow along the graph from both the left or the right of x=0, you will end up at the same point.
b.)True, because(0,0) is the same point referred to in part(a)
c.)False, the function itself is equal to 1 where x =1, but the paths of the function lead to (0,0) when approaching from the left or the right.
d.)False, f(x) does not approach 1 from either side of x=1
e)False, F(x) does approach 0 if you come from the right , but it approaches -1 if you come from the left of x=1. The different values means this limit does not exist.
f)True Since(-1,1) is an open interval the non existing limit at x =1 is not included And no other point in that interval has any problems approaching from both sides.
'g.) True The reason stated in part(e)