Q2 In R\

Q.2 In the compact sets are exactly the closed and bounded sets. In the metric space C([O, 1]) of 011 continuous functions with distance given by Ilf - glloc If (X) the compact sets are described by the Arzel-Ascoli Theorem. (a) Look up this theorem online or in a book, and describe the compact sets in 1]), using the definitions and language from our course. (b) Explain how the theorem shows that every I VP x' (t) = F (x, t); x(to) = where F is continuous in a neighbourhood of (To, to) has a solution defined in a neigbourhood of to. Be sure to reference the sources you use.