For part b the statement is false, because the graph is defiantly not near y=2.

Part a the limit may be 1, but I'm not sure as it's been a long time since I've done any of these questions. I say this because as x approaches 1 from the left and right, the function appears to go to 1.

I don't understand questions d and e either, what do you mean by the "(over zero)" thing?