What is the tightest big-O of 1/1+1/2+1/3+...+1/n2? Recall that for any base b, we havelog, nkk 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 AB.D6.30F3000000F4F5F6F7F8%&5678RY14 Consider the recurrence T(n) = T(n/3) +T(n/100) +0(n). What is the correct tightasymptotic bound for T(n)?%3DA) e(n²)B) O(n)C)e(n logn)D) O(2")O AO BCOD000000 F4F3F5F6F7F8$%&45678

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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Concept explainers

Problems on numbers

Number theory is one of the most appealing topics in mathematics. Given one or more numeric values, a numeric algorithm performs some computation. The use of number theory in computing is important for applications like in the case of cryptographic algorithms. Number theory is also used in various applications such as calculating hash functions or in information security. Euclid’s algorithm is one of the oldest number-theoretic algorithms which is used to calculate the greatest common divisor of two numbers.

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

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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