The given limit is .
Compair the limit form , So
.
Now choose values of x close to 3, arbitrarily starting with 2.99.
\Then choose values of x > 3, starting with 3.01, that get closer to 3.
\ \
x \ | \
\
2.99 \ | \
\
2.999 \ | \
\
2.9999 \ | \
\
| \
\
3.0001 \ | \
\
3.001 \ | \
\
3.0 \ | \
\
| \
2.003344 | \ \
2.000333444 \ | \
\
2.000033334444 \ | \
\
| \
\
1.99996666 \ | \
\
1.999666 \ | \
\
2.0 \ | \
Now infer that as x gets closer to 3.
\Then the value of .
To check the solution of .
(Apply formula:
)
(Substitute x = 3)
The value of .