Determine the points at which F(x) is continous.
f(x)= 5 csc(5x)
I know I should make it f(x)=5 ((1/sin)5x) but what else?

Question

jamesj · Answer

when does the expression 1/y make sense?  when y is not zero

So when does 1/sin(5x) make sense?

When sin 5x is not zero

jamesj · Answer

I.e., when x = .... (calculate!)

anonymous · Answer

not sure what you mean..

jamesj · Answer

Hint: there are an infinite number of x for which sin 5x = 0

anonymous · Answer

Im trying to find where it is not contious

jamesj · Answer

Yes, and the function will NOT be continuous where it is not defined. For example, look at the graph of f(x) = cosec(x) http://www3.wolframalpha.com/input/?i=f%28x%29+%3D+1%2Fsin%28x%29

anonymous · Answer

I am not sure how that helped at all..? I see the graph but how does that help here

jamesj · Answer

The function f(x) = 5 cosec(5x) has an infinite number of points where it is not defined.  Those are also exactly the points where it is not continuous.

What are the values of x for which f(x) is not defined?

anonymous · Answer

Never mind I think I got it. Thanks.. was like n/5