The function is .
Evaluating function for a few large positive values of
to complete the table.
Estimate the limit Numerically:
\For all values of , substitute those in function
to complete the table.
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
Observe the table:
\As , the limit approaches to
.
The function is .
Find the limit as approaches to infinity.
\.
Estimate the limit graphically :
\Graph of the function :
.
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
Graph of the function is
.