Step by Step solution about How to resolve the algorithm Find limit of recursion step by step in the JavaScript programming language

The provided JavaScript code defines a recursive function called recurse that attempts to call itself repeatedly until an exception is thrown due to reaching the maximum call stack size. Here's a detailed explanation:

1. function recurse(depth): This function takes one argument, depth, which is initially set to 1.

2. Inside the try block, the recurse function calls itself with depth + 1 as the argument. This creates a recursive call stack where each function invocation increases the depth by 1.

3. The catch block catches any exception that occurs during the recursive calls. In JavaScript, exceeding the maximum call stack size typically results in a RangeError or Maximum call stack size exceeded error.

4. When the catch block is executed, it returns the current value of depth. This represents the maximum recursion depth that the system can handle before reaching the maximum call stack size.

5. In the main part of the code, the maxRecursion variable stores the result of invoking recurse(1).

6. Finally, the code uses document.write to display the maximum recursion depth achieved on the system.

When you run this code, it will attempt to recursively call the recurse function until it reaches the maximum call stack size. The exact maximum recursion depth will vary depending on the system and browser configuration. The displayed message will show the maximum depth that can be achieved before the error occurs.

function recurse(depth)
{
 try
 {
  return recurse(depth + 1);
 }
 catch(ex)
 {
  return depth;
 }
}

var maxRecursion = recurse(1);
document.write("Recursion depth on this system is " + maxRecursion);