The limit is .
Definition :
\If be the function is defined on
then
,
it means that for every there is a corresponding number
such that if
then
.
From the definition, .
When ,
Determine the values of for which the curve lies between horizontal lines.
and
.
Consider .
Graph :
\Graph the function :
Observe the graph.
\when .
Therefore .
From the definition,
\When .
Determine the values of for which the curve lies between horizontal lines.
and
.
Consider .
Graph :
\Graph the function :
Observe the graph.
\when .
Therefore .
When then
.
When then
.