Show that g(n) = 3" + 1010" is asymptotically bounded above by f (n) = 4".

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Show that g(n) = 3" + 1010" is asymptotically bounded above by f(n) = 4".
Transcribed Image Text:Show that g(n) = 3" + 1010" is asymptotically bounded above by f(n) = 4".
Expert Solution
Step 1

Given,

gn=3n+101010fn=4n

Now, divide gn by fn we get,

gnfn=34n+1010104nlimhgnfn=limh34n+limh1010104nlimhgnfn=0+0  Since,limhan=0 when a<1 limhgnfn=0

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