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