Function Continuous

[Guest]

Is a function defined at this point continuous?




L'Hôpital's rule ?

[Guest]

The sum of two continuous functions are continuous, and the composition of continuous functions is continuous.

So the answer is yes, to both questions.

The only non-continuous function in your questions is tan (all the others are continuous everywhere), and you are looking at tan at the pi/4 point where it is locally continuous, so you are fine.

Hope this helped,

R. Baber.