help-limits-sequence?

Question

Answer 1

(8.d)

Step 1:

The sequence function is .

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

Step 2:

Plot the evaluated terms

Observe the graph, as approaches from the right side, the sequence approaches to 0.4.

Solution :

The sequence approaches to 0.4.

Answer 2

(8.e)

Step 1:

The sequence function is .

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

Step 2:

Plot the evaluated terms

Observe the graph, as approaches from the right side, the sequence approaches to 2.

Solution :

The sequence approaches to 2.

Answer 3

(8.f)

Step 1:

The sequence function is .

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

Step 2:

Plot the evaluated terms.

Observe the graph, as approaches from the right side, the sequence approaches to 2.

Solution :

The sequence approaches to 2.

Answer 4

(8.g)

Step 1:

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 coefficient of highest degree in expression are same.

Solution :

The value of the limit and the coefficient of highest degree in expression are same.