The sequence is .
Calculate the first terms of the sequence :
If then
.
If then
.
If then
.
If then
.
If then
.
If then
.
If then
.
If then
.
If then
.
If then
.
Graph :
\\
(1) Draw the coordinate plane.
\\
(2) Graph the sequence indicate the first
terms of the sequence.
Observe the graph:
\As tends to
,
approaches to
.
The sequence convergences to .
The sequence is .
Find the limit of the sequence.
\As ,
.
.
The sequence convergences to .