What You can demonstrate without any other 'particulary knowledge' is that the sequence...

(1)

... converges to a number which is between 2 and 3... and nobody stops You from calling that number ...

As immediate extension You can demonstrate that the sequence...

(2)

... convergers for any value [real or complex...] of the and nobody stops You from defining the function...

(3)

From (3) it is possible to derive all the properties of , as for example...

(4)

Kind regards