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 sequence approaches to 0.4.

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 sequence approaches to 2.

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 sequence approaches to 2.

(d)

Relationship between the coefficients in the expression and the value of its limit.

The coefficients in the   in  is .

The value of the limit is 0.4.

So the value of the limit and the coefficients in the expression are same.