Step 1 :

Consider the sequence defined by the general term .

The first five terms are found by plugging in and for .

.

Thus, the seqence is .

Step 2:

Now consider the sequence defined by the general term .

The first five terms are found by plugging in and for .

.

Thus, the seqence is .

If we were represented by rather than , then the whole sequence was change.

Therefore, the limit would be change by the representation.

Check algebraically :

First find .

find .

From the above observations :

Therefor, there is no change about the limit in , if the sequence were represented by rather than when approches to .