The given limit is .
Compare the limit with , So
.
Now choose values of x close to 0, arbitrarily starting with 0.03.
Then choose values of x > 0, starting with 0.03, that get closer to 0.01.
\ \
x \ | \
\
| \
\
| \
\
| \
\
| \
\
0.03 \ | \
\
0.02 \ | \
\
0.01 \ | \
\
| \
1.0003 | \ \
1.00013 \ | \
\
1.000033 \ | \
\
| \
\
1.0003 \ | \
\
100013 \ | \
\
1.000033 \ | \
Now infer that as x gets closer to 0.
\Then the value of .
.