Tell whether each of the following statements is true or false. No explanation is needed.i n? + 3 = 0(n2)ii 19n = 0(n)iii log, n = 0(log3 n)iv 34n3 +2 = 0()v 123 = 0(n!)vi n? = 2(n2 + 4)%3Dvii n? = N(123)%3Dviii 3 log2 n =0(n log3 n)ix if f(n) = 0(g(n)) then f(n) = 0(g(n))x if f(n) = (g(n)) then f(n) = 0(g(n))%3Dxi if f(n) = 0(g(n)) then g(n) = O(f(n))

n2+3=O(n2) True 19n=O(n) True log2n=O(log3n) True 34n3+2=Θn1000 False…

Tell whether each of the following statements is true or false. No explanation is needed. i n? +3 = 0(n²) ii 19n = 0(n) %3D iii log2 n = 0(log3 n) iv 34n3 +2 = 0(T) %3D v 123 = 0(n!) %3D vi n? = (n2 + 4) %3D vii n? = N(123) %3D viii 3 log2 n = 0(n log3 n) ix if f(n) = e(g(n)) then f(n) =0(g(n)) %3! x if f(n) = (g(n)) then f(n) = 0(g(n)) %3D %3D xi if f(n) 0(g(n)) then g(n) = 0(f(n)) %3!

Tell whether each of the following statements is true or false. No explanation is needed. i n? +3 = 0(n²) ii 19n = 0(n) %3D iii log2 n = 0(log3 n) iv 34n3 +2 = 0(T) %3D v 123 = 0(n!) %3D vi n? = (n2 + 4) %3D vii n? = N(123) %3D viii 3 log2 n = 0(n log3 n) ix if f(n) = e(g(n)) then f(n) =0(g(n)) %3! x if f(n) = (g(n)) then f(n) = 0(g(n)) %3D %3D xi if f(n) 0(g(n)) then g(n) = 0(f(n)) %3!

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 26RE

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Question

Tell whether each of the following statements is true or false. No explanation is needed.
i n? + 3 = 0(n2)
ii 19n = 0(n)
iii log, n = 0(log3 n)
iv 34n3 +2 = 0()
v 123 = 0(n!)
vi n? = 2(n2 + 4)
%3D
vii n? = N(123)
%3D
viii 3 log2 n =
0(n log3 n)
ix if f(n) = 0(g(n)) then f(n) = 0(g(n))
x if f(n) = (g(n)) then f(n) = 0(g(n))
%3D
xi if f(n) = 0(g(n)) then g(n) = O(f(n))

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