Just needed a double check on my working to see if I am on the right track!
Prove that is continuous at .
Given , we have , provided that
Is this correct?
And I have another question about continuity!
Let denotes the set of rational numbers, consider the function
(i) Prove that g(x) is continuous at x=0.
(ii) State the least upper bound for g on the interval [0,1] and state whether g attains a maximum on [0,1]. Give clear explanations to justify your statements.