Step 1:

The sequence is .

Write out the terms of the sequence.

Terms of the sequence :

,

,

,

,

,

,

,.....

The sequence is .

The graph of the sequence is :

Observe the graph, the terms are decreasing and perhaps approaches .

Thus, the sequence converges to .

Step 3 :

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 .

Solution:

The sequence converges to .