# Function Continuous

### Function Continuous

Is a function defined at this point continuous?

L'Hôpital's rule ?
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### Re: Function Continuous

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.
Guest