Elementary Limits

Here we list the most important limits. Without remembering them one has little chance of finding limits succesfully.

Constant sequence:

We assume here that a > 0. Then

Geometric sequence:

This is most often applied to "exponentials", sequences like en, 2n, etc.


Elementary functions:

Alternating and oscillating sequences:
We know that the following limits do not exist:

On the other hand,