# Quick question

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?

Homework Helper
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?

chukie
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?

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

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

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?

chukie
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?

k(x) is continuous for all real numbers