Step 1: \ \

The sequence function is .

Now find the number of terms (upto 10)to be plotted.

1
2
3
4
5
6
7
8
9
10

Step 2:

Plot the evaluated terms

So from the graph as approaches from the right side the , the sequence approaches to 1.

Step 1: \ \

The sequence function is .

Now find the number of terms (10 to 20) to be plotted.

11
12
13
14
15
16
17
18
19
20

Step 2:

Plot the evaluated terms

So from the graph as approaches from the right side the , the sequence approaches to 1.

Step 1:

From the above two results we can conclude that as approaches from the right side the , the sequence approaches to 1.

Now verify the it analytically.

As the sequence approaches infinity.

Solution :

As tends , the sequence approaches to 1.