Limits

[Ramulala]

Hello I don't know how to solve this question. It seems weird to me because there is nothing given for f(X)? Is it just some sort of positive or negative infinity. How can you solve for c in this situation?

 

[Steven G]

How can you say that there is nothing given for f(x)??

x^2-5 is continuous everywhere, including (-oo, c).
2x-6 is continuous everywhere, including [c, oo].
The only place where f(x) may be discontinuous is at x=c.
What would the value of c be to make the function continuous.
I would use the definition for a function to be continuous at x=c.
Can you state this definition (the answer has nothing to do with this given function)?

 

[JeffM]

There are three conditions for f(x) to be continuous for all real x.

What are they?