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(d) Show that f(n) is O(n) and 2(n²). You must use the definitions from class, and explicitly define n ≥k

(d) Show that f(n) is O(n) and 2(n²). You must use the definitions from class, and explicitly define n ≥k

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Plz do d part only in 20 minutes 

(c). For each of the following f(n), show that f(n) is (g(n)) for the correct function g(n). Prove your result using the definitions from class, justifying your statement is true for all n 2 k. (provide the value of k). • f(n)=√n(logn)² ++√nlogn + √n log n f(n). =2" n+100 4"-n logn-n (d) . Show that n+1 -n² + √n 21 is O(n) and 2(n²). You must use the definitions from class, and explicitly define n k f(n) =
Transcribed Image Text:(c). For each of the following f(n), show that f(n) is (g(n)) for the correct function g(n). Prove your result using the definitions from class, justifying your statement is true for all n 2 k. (provide the value of k). • f(n)=√n(logn)² ++√nlogn + √n log n f(n). =2" n+100 4"-n logn-n (d) . Show that n+1 -n² + √n 21 is O(n) and 2(n²). You must use the definitions from class, and explicitly define n k f(n) =
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