The sequence is .

Write out the terms of the sequence.

Terms of the sequence :

.

.

.

.

.

.

,.....

The sequence is .

Graph the sequence is :

Observe the graph :

The terms are decreasing and perhaps approaches .

Thus, the sequence converges to .

To confirm the result, first decide whether the sequence is convergent or divergent.

If the sequence is convergent, then find the value of the limit.

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

The sequence is .

As , then .

Evaluate the limits.

.

Thus, the sequence converges to .

The sequence converges to .