d) 0.01n2 + 0.0000001n4 is O(n2) 0.01n + 0.0000001n* <=0.01n* + 0.0000001n* 0.01n? + 0.0000001n* >=0.0000001n for n>0, O(n*) for n>0 ,2(n°). is O(n") True
d) 0.01n2 + 0.0000001n4 is O(n2) 0.01n + 0.0000001n* <=0.01n* + 0.0000001n* 0.01n? + 0.0000001n* >=0.0000001n for n>0, O(n*) for n>0 ,2(n°). is O(n") True
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 13E
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Transcribed Image Text:d) 0.01n2 + 0.0000001n4 is O(n2)
0.01n? + 0.0000001n“ <=0.01n* + 0.0000001n
0.01n? + 0.0000001n >=0.0000001n*
e) 1000000n2 + 0.0000001n5 is Q(n3)
1000000n + 0.0000001n>=0.0000001n
0.0000001n >= n
f) n! is Q(2")
n! = n* (n-1) * (n-2)*...* 3* 2* 1
for n>0, O(n*)
for n>0 ,2(n*). is O(n°) True
for n>0 ,2(n°).
is 2(n°), Q(n°) is correct but not true.
for n>10000000
>= 2" = 2 2 *2
*.* 2* 2 *2 for n>=4, is Q(2") True
...
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