limits-sequences? help?

Question

Answer 1

(5)

Step 1:

The sequence  is represented as .

Graph :

Plot the points obtained in the table.

Graph the sequence .

Observe the graph :

As tends to , the sequence approaches to .

As tends to , the sequence approaches to .

Hence conclude that the graph at each end of the -axis is approaching to .

Solution :

The graph at each end of the -axis is approaching to .

Answer 2

(6)

The sequence is .

From the 5th solution,

As tends to , the sequence approaches to .

As tends to , the sequence approaches to .

Hence conclude that the graph at each end of the -axis is approaching to .

Here the graph is approaching to , but it is not equal, beacuse even a large input will give a small input value but it is never .

It does not touches or crosses over the -axis.