The function is
.
When
approaches
from the left side,
is a small positive number.
Thus, the quotient
is a large negative number and
approaches negative infinity
form the left of
.
.
decreases without bound as
approaches
from the left.
Verify the limit by using the table.
\![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
As limit in which
decreases without bound as
approaches
from the left is called as an infinite limit.
Therefore,
.
.