The sequence is .

The first ten terms of the sequence are

.

.

.

.

.

.

.

.

.

.

Therefore, the first ten terms of the sequence are

.

Graph :

Graph the sequence .

Plot the first ten terms of the sequence are

.

Observe the graph :

The the value of the sequence is rapidly increasing.

Therefore, the sequence does not have a limit value.

The sequence is  .

A sequence  is convergent, then there exist , where  is a constant.

Since .

.

The sequence is diverges.

The first ten terms of the sequence are

.

The sequence does not have a limit value.