AskSia

Plus

using matlab 2. In this assignment, you will evaluate the accuracy of Stirling's...

Oct 8, 2024

using matlab

matlab

Explanation

The code calculates and displays a table comparing factorial values with Stirling's approximation for n from 1 to 10.

Step-by-step Instruction

▪

Define the main function: Create a function named `stirling_approximation` to perform calculations

▪

Initialize an output table to store results for n, n!, Stirling's approximation, absolute error, and relative error

▪

Loop through values of n: Use a for loop to iterate from 1 to 10

▪

Calculate the factorial using MATLAB's built-in `factorial` function

▪

Calculate Stirling's approximation using the provided formula

▪

Calculate absolute and relative errors based on the factorial and Stirling's approximation

▪

Store results: Save the results in the output table for each n

▪

Display the table: Use `disp` to show the results in a readable format

Time Complexity

The time complexity is O(n) due to the loop iterating from 1 to 10.

Space Complexity

The space complexity is O(1) since the output table size is fixed and does not depend on input size.