Step 1:
\The function is
If the function is continuous, the left hand side limit is equal to right hand limit.
\As tends to
from the left hand side,
As tends to
from the right hand side,
Left hand limit is equal to right hand limit.
\
Multiply each side with negative one.
\
Apply zero product property.
\ and
and
.
The function is continuous at and
.
Solution:
\The function is continuous for constant values of and
.
Step 1:
\The function is .
If the function is continuous, then the left hand side limit is equal to right hand side limit.
\As tends to
from the left hand side,
As tends to
from the right hand side,
Step 2:
\Left hand limit is equal to right hand limit.
\Multiply each side with negative one.
\Apply zero product property.
\ and
.
and
.
The function is continuous for constant values and
.
Solution:
\The function is continuous for constant values and
.
\