1, 4, 9, 16, 25, ...
and we often want to know whether the sequence converges or diverges, and if it converges, what its limit value is.
All of the discussion about limits on these pages will refer to functions of real variables. However, these results can be fully adapted to sequences, due to the following result:
If and when n is an integer, then
From this, we see that all of the limit laws, and l'Hôpital's Rule, hold for sequences as well as functions of real variables.
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