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November 20th, 2016, 09:21 AM   #1
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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 10:10 AM.
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November 20th, 2016, 09:49 AM   #2
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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?
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November 20th, 2016, 09:55 AM   #3
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It seems that "^" needs to be inserted before each exponent.
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November 20th, 2016, 09:58 AM   #4
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Find the dominant (i.e. fastest growing) term of each function, then compare the dominant terms
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November 20th, 2016, 10:07 AM   #5
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Please avoid duplicate posting.
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November 21st, 2016, 02:15 PM   #6
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If an=12n+5 and bn=20nlogn+2345

Lim an/bn =0 and bn grows faster than an.
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