STA236 Flashcards
1
Q
Open set
A
For any x in the set, we can find a ball around x with positive radius such that the ball is contained in the set
2
Q
Closed set
A
If the set R^n\D is open
3
Q
Epsilon-delta definition of limits
A
Limit exists at x_0 if for any epsilon>0, there is delta>0 such that if |x-x_0|<delta, then |f(x)-L|<epsilon
4
Q
Continuity
A
If the limit exists at x_0 and equals to f(x_0)
5
Q
How to show limit does not exist
A
Two paths going to x_0 results in 2 different limits
6
Q
When is f_xy(a,b)=f_yx(a,b)
A
When f_xy and f_yx are both continuous at (a,b)
7
Q
A
