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.

**Geometric sequence:**

This is most often applied to "exponentials", sequences like
*e*^{n}, 2^{n}, etc.

**Exponential:**

**Elementary functions:**

**Alternating and oscillating sequences:**

We know that the following limits do not exist:

On the other hand,