The limit expression is
.
Graph:
\Graph the function
.
observe the graph:
\As
tends to
, the function value approaches to
.
If a limit exist, then the left hand limit and right hand limit always equal.
\The left hand side limit is
.
Consider the table near left side of
.
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Observe the table:
\As
tends to
from the left hand side, then the limit approaches to
.
.
The right hand side limit
.
Consider the table near right side of
.
![]() | \
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\
| \
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As
tends to
from the right hand side, then the limit approaches to
.
.
.
The right hand side limit is equal to left hand side limit.
\Therefore, the limit exists.
\
.
.