passionate
New member
- Joined
- Nov 15, 2007
- Messages
- 17
I'm stuck with this problem. Can someone help me ?
Suppose that f_n: [a,b] --> R and f_n converges uniformly to f. Which of the following discontinuity properties of the function f_n carries over to the limit function? (Prove or disprove)
1) No discontinuities
2) At most 10 discontinuities
3) At least 10 discontinuities
4) Finitely many discontinuities.
Suppose that f_n: [a,b] --> R and f_n converges uniformly to f. Which of the following discontinuity properties of the function f_n carries over to the limit function? (Prove or disprove)
1) No discontinuities
2) At most 10 discontinuities
3) At least 10 discontinuities
4) Finitely many discontinuities.