help????

Question

Answer 1

(7.a)

Step 1:

The sequence function is .

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

Step 2:

Plot the evaluated terms

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

Solution :

As moves to the right hand side, the sequence approaches to 1.

Answer 2

(7.b)

Step 1:

The sequence function is .

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

Step 2:

Plot the evaluated terms

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

Solution :

As moves to the right hand side, the sequence approaches to 1.

Answer 3

(7.c)

Step 1:

From the results (7.a) and (7.b), conclude that as moves to the right hand side, the sequence approaches to 1.

Verify it analytically :

Apply infinite limit to the sequence.

As tends , the sequence approaches to 1.

Solution :

The sequence approaches to 1.