# Quick question

1. May 27, 2008

### chukie

k(x) is a continuous function. k(x)=-1 and k(4)=2 then is this statement true:

lim x->3- k(x) = lim x->3+ k(x)

i realli hv no idea. could sumone help me please?

2. May 27, 2008

### Dick

What does continuous mean in terms of limits? k(x)=(-1) means the function is constant. k(4)=2 contradicts the previous statement. What's the real problem?

3. May 27, 2008

### chukie

sorry i typed the question wrong k(3)=-1

4. May 27, 2008

### Dick

S'ok. But the question is still odd, because the values of the function don't have anything to do with whether the two limits are equal. If a function is continuous at x=3, what can you say about it's left and right hand limits? Do you mean to say k(x) is only defined on the interval [3,4]? Or is it defined and continuous everywhere?

5. May 27, 2008

### chukie

k(x) is continuous for all real numbers

6. May 27, 2008

### Dick

Fine. Then the values of the function have nothing to do with the problem. What does being continuous tell you about limits?

7. May 27, 2008

### chukie

umm im not exactly sure but the left hand limit should equal the right hand limit?

8. May 27, 2008

### Dick

Pretty much. And they both should equal the value of the function at x=3. Kind of a silly question then, yes?

9. May 27, 2008

### chukie

yes lol but thank you so much for ur help. it helped cleared things up for me.