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 sequence is approaches to the value .

Therefore, the limit value of the sequence is .

The sequence is  .

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

Since .

.

The sequence converges to .

The first ten terms of the sequence are

.

The sequence have a limit and the value is .