The function is
.
Draw the table different values of
.
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A limit in which
increases or decreases without bound as
approaches
is called an infinite limit.
Observe the table:
\As
tends to
from the left hand side,
approaches
.
.
As
tends to
from the right hand side,
approaches
.
.
Graph of the function
:

Observe the graph:
\As
tends to
the left hand side,
approaches
.
.
As
tends to
the right hand side,
approaches
.
.
.
.