What is the tightest big-O of 1/1+ 1/2+1/3+...+1/n2? Recall that for any base b, we have log, n = k log, n (this fact.may or may not be useful to get the answer). %3D A) O(1) B) O(n) C) O(log n) D) O(log n) A O C D.
What is the tightest big-O of 1/1+ 1/2+1/3+...+1/n2? Recall that for any base b, we have log, n = k log, n (this fact.may or may not be useful to get the answer). %3D A) O(1) B) O(n) C) O(log n) D) O(log n) A O C D.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
![What is the tightest big-O of 1/1+1/2+1/3+...+1/n2? Recall that for any base b, we have
log, nk
k log, n (this fact.may or may not be useful to get the answer).
A) O(1)
B) O(n)
C) O(log* n)
D) O(log n)
O A
B.
D
6.
30
F3
000
000
F4
F5
F6
F7
F8
%
&
5
6
7
8
R
Y
14](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8695284e-764c-4713-84c8-81d0f8c23817%2Fa5a4ac78-69e8-47a2-bf63-0d54acc086c8%2F1r5286s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:What is the tightest big-O of 1/1+1/2+1/3+...+1/n2? Recall that for any base b, we have
log, nk
k log, n (this fact.may or may not be useful to get the answer).
A) O(1)
B) O(n)
C) O(log* n)
D) O(log n)
O A
B.
D
6.
30
F3
000
000
F4
F5
F6
F7
F8
%
&
5
6
7
8
R
Y
14
![Consider the recurrence T(n) = T(n/3) +T(n/100) +0(n). What is the correct tight
asymptotic bound for T(n)?
%3D
A) e(n²)
B) O(n)
C)e(n logn)
D) O(2")
O A
O B
C
OD
000
000 F4
F3
F5
F6
F7
F8
$
%
&
4
5
6
7
8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8695284e-764c-4713-84c8-81d0f8c23817%2Fa5a4ac78-69e8-47a2-bf63-0d54acc086c8%2Fueqgceh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the recurrence T(n) = T(n/3) +T(n/100) +0(n). What is the correct tight
asymptotic bound for T(n)?
%3D
A) e(n²)
B) O(n)
C)e(n logn)
D) O(2")
O A
O B
C
OD
000
000 F4
F3
F5
F6
F7
F8
$
%
&
4
5
6
7
8
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