The function is .
When tends to
from the right side,
is a large negative number.
Therefore approaches negative infinity from the right
.
so .
decreases without bound as
approaches
from the right.
Verify the limit using the table .
\![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
A limit in which decreases without bound as
approaches
is called an infinite limit.
Therefore, .
.