Step 1:
\The sequence
is represented as
.
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Graph : \ \
\Plot the points obtained in the table.
\Graph the sequence
.
.gif\")
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
.
\
\
\
\
(6)
\The sequence is
.
From the above 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.