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JazzRun
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Homework Statement
Verify that (n^2 + 3n -3)/n^3 = 0 + O(2/n)
Homework Equations
The Attempt at a Solution
I really don't have an attempt. I understand Big O notation, but I don't know how to verify this.
JazzRun said:a_n converges to A with a rate of convergence O(b_n). Then you can write a_n=A + O(b_n)
JazzRun said:I'm not sure, that's why I'm asking :(
Big O Notation Analysis is a method used to classify the efficiency of an algorithm in terms of its input size. It helps to understand how the time and space complexity of an algorithm changes as the input size increases.
Big O Notation Analysis allows us to compare and analyze the performance of different algorithms. It helps us to identify which algorithm is the most efficient for a given problem and make informed decisions about which algorithm to use.
Big O Notation Analysis is calculated by determining the highest order term or the fastest growing term in an algorithm's runtime. This term is represented by "n" and the resulting expression is the Big O Notation for that algorithm.
There are several types of Big O Notation, including O(1) for constant time, O(n) for linear time, O(n^2) for quadratic time, O(log n) for logarithmic time, and O(n!) for factorial time. These notations represent the worst-case scenario for an algorithm's time complexity.
Yes, Big O Notation can be used to analyze the space complexity of an algorithm. Space complexity refers to the amount of memory or storage space an algorithm requires to run. It is also represented using Big O Notation, with O(1) being the most efficient and O(n) being the least efficient.