The function is
Find left hand limit .
The function at
.
Apply the formula : then
.
then
.
As tends to
from left hand side.
Find left hand limit .
The function at
.
Apply the formula : then
or
.
then
or
.
As tends to
from right hand side.
.
Left hand side limit is equal to right hand side limit.
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Hence, the function is continuous at .
The function is continuous for all real values of .
The function is continuous for all real values of .