November 20th, 2016, 08:21 AM  #1 
Newbie Joined: Nov 2016 From: liverpool Posts: 2 Thanks: 0  functions
Hi, please can someone help me out? I need to order the following: 10n + 5 + 2n 20n log n + 2345 3 log n + 5n2 100 log n + 5000 from the slowest growing function to the fastest growing function and to be fair I don't have a clue; can some one help please? Last edited by skipjack; November 20th, 2016 at 09:10 AM. 
November 20th, 2016, 08:49 AM  #2 
Senior Member Joined: May 2016 From: USA Posts: 997 Thanks: 410 
Two clues. If differentiable function f(n) is growing faster than differentiable function g(n), what can you say about f'(n) and g'(n)? Furthermore, you do realize that one function may grow faster than another in part of their mutual domain and may grow more slowly in a different part of their common domain. What does your problem say about domains? 
November 20th, 2016, 08:55 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 18,847 Thanks: 1568 
It seems that "^" needs to be inserted before each exponent.

November 20th, 2016, 08:58 AM  #4 
Newbie Joined: Nov 2016 From: liverpool Posts: 2 Thanks: 0 
Find the dominant (i.e. fastest growing) term of each function, then compare the dominant terms

November 20th, 2016, 09:07 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 18,847 Thanks: 1568 
Please avoid duplicate posting.

November 21st, 2016, 01:15 PM  #6 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,329 Thanks: 94 
If an=12n+5 and bn=20nlogn+2345 Lim an/bn =0 and bn grows faster than an. 

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