Elementary Limits

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

Constant sequence:

Powers:
We assume here that a > 0. Then

Geometric sequence:

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

Exponential:

Elementary functions:

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

On the other hand,