Continuity of Function At x = c

[nycmathdad]

I started learning Calculus 1 less than 2 weeks ago.
So far, I really like the material.

I think I understand the 3 conditions for continuity of a function at a specific x-value.

1. f(x) must be defined at f(c), meaning c is in the domain of f.
2. LHL = RHL...In other words, the limit of f(x) as x tends to c must exists.
3. The limit of f(x) as x tends to c must = f(c).

If all three conditions are met, the function is continuous.

Yes?

 

[jalexandre]

Yes, this means the function is continuous at that specific point (c,f(c))

 

[nycmathdad]

Yes, this means the function is continuous at that specific point (c,f(c))

So far, I like calculus 1.