Yihan recently learned the asymptotical analysis. The key idea is to evaluate the growth of a function. For example, she now knows that n² grows faster than n. She wants to know whether she really understands the idea, so she has created a little task. First of all, she found a lot of functions here: 91 3n 92: n! 93 n² + n 94 n³ 95 log² n 96 log n² 97: log(n!) 98 2n+1 99 911 √n 916 n 912 log log n 917 2n 913 (n+1)! 918 nlogn ln ln n 914 Vlog n 919 5n² 910 10000 915 log √n 920 n/logn log2 n; In n = loge n; log² n = (log n)2; n! is the factorial of n, i.e., n! = 1 x 2 x. xn. Note: logn= Finally, please rank all the functions by order of growth. Present your answer in the form of: - 13m +6
Yihan recently learned the asymptotical analysis. The key idea is to evaluate the growth of a function. For example, she now knows that n² grows faster than n. She wants to know whether she really understands the idea, so she has created a little task. First of all, she found a lot of functions here: 91 3n 92: n! 93 n² + n 94 n³ 95 log² n 96 log n² 97: log(n!) 98 2n+1 99 911 √n 916 n 912 log log n 917 2n 913 (n+1)! 918 nlogn ln ln n 914 Vlog n 919 5n² 910 10000 915 log √n 920 n/logn log2 n; In n = loge n; log² n = (log n)2; n! is the factorial of n, i.e., n! = 1 x 2 x. xn. Note: logn= Finally, please rank all the functions by order of growth. Present your answer in the form of: - 13m +6
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 1CYU
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