The limit of the function is
.
Let
.
Construct the table for different values of
, to estimate the value of
:
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
Observe the table.
\As
tends
from left side,
approaches to
.
.
As
tends
from right side,
approaches to
.
.
Left side limit and right side limit are equal,
is exist.
.
.