Lecture 21 : Relative rate of growth of functions [Section 21.1]
21.1
Relative Growth Rates of functions
In many applications, it becomes important to know how fast a function is increasing. This is often analysed by comparing it with other functions. Here are some examples:
21.1.1
Examples:
(i)
Consider the functions and . Both these functions increase as increases. However, increases at a rate much faster than . For example
and 
. Both these functions increase as 
increases. However, 
increases at a rate much faster than 
. For example 
. 
and 
. Then for 
. 
: 
