Hi kanezila,

In part b, to prove that is continuous at we need to show that for there is such that whenever , we have Perhaps looking at an antiderivative will go somewhere, but this is probably best done by using the definition.

To prove part c looking at the following sequence of functions in , where for , for and for Then we should be able to show that Since this goes to 0 as n goes to infinity the infimum must be 0, because each of the 's belong to

Does this clear things up? Good luck!