Let Since
the last equality follows from the fact that and for .Hence grows faster than .
Thus, grow at the same rate.
PRACTICE EXERCISES :
Compare the rate of growth, as , of the function with the following:
Since 
and 
for 
.Hence 
grows faster than 
. 
be real numbers and 
Then 
grow at the same rate. 
, of the function 
with the following: 
