1. Math
  2. Advanced Math
  3. 1 assume f is a function that maps elements in...

Question: 1 assume f is a function that maps elements in...

Question details

1. Assume f is a function that maps elements in set A to elements in set B, where A C R. B C R and A and B are open sets. Let a E A. (G) Define what is meant by the following notation. lim f(z) = k, for sorne k E (i) If the above equation is true show k must equal f(a) and that the function fits the section 1.4 definition of continuity at a point. (iii) Prove that if the derivative of/ at point a exists then rnust be continuous at point a.

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution