$\"\"$

The given limit is $\"\"$ .

Compare the limit with $\"\"$ , 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.

Finally evaluate f at each choice to obtain table below.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ x \	\ 2.99 \	\ 2.999 \	\ 2.9999 \	\ $\"\"$ \	\ 3.0001 \	\ 3.001 \	\ 3.01 \
\ $\"\"$ \	\ 18.8802 \	\ 18.988002 \	\ 18.99880002 \	\ $\"\"$ \	\ 19.00120002 \	\ 19.012002 \	\ 19.1202 \

Now from above table we infer that as x gets closer to 3 the value of f(x) closer to 19..

The value of $\"\"$ .

$\"\"$

$\"\"$ .