Epsilon-N

See Q6 on attached document....

Part (a) is just a definition and is simple enough.

Part (b) i got an answer 10/64 using the "big top/small bottom" technique. Was this the right way to do it?

Part (c) i have no idea how to tackle these types of questions so was hoping someone would be able to walk me through the theory for them.

Thanks

I'm not sure your answer for part (b) is right. How did you obtain it? I got .

Part (c) is easy enough:

(i) Now add to both sides.

(ii) This is just using the difference of two squares:



From (i) we have that and so and the result follows (I think is a typo).

Part (c) is needed for part (d).