I understand that you want clarification on how the "counter" functions within the while loop. Let's break down the code.
Understanding the Code
1. Initialization:
sets the tolerance value, which is the threshold for determining when 
is approximately zero.
initializes counter and keeps track of number of iterations and index for arrays "x" and "result".
initializes the first value of "x" as 0. This is the starting point for calculating .
2. First Calculation: 
calculates for initial value of "x", which is 0. This result is stored in "result" array at the index "counter".
calculates for initial value of "x", which is 0. This result is stored in "result" array at the index "counter".3. While Loop: The loop continues as long as 
. This means the loop will keep iterating until becomes less than or equal to the specified tolerance.
. This means the loop will keep iterating until becomes less than or equal to the specified tolerance.Addressing Your Questions
1. Why can we have a value for "x(counter)" without assigning it first? - The line explicitly assigns the value 0 to "x(1)" (since "counter" is initially 1). This initializes the first element of the "x" array. As the loop progresses, "x(counter)" is updated to new values based on the previous value, thus determining its value dynamically.
explicitly assigns the value 0 to "x(1)" (since "counter" is initially 1). This initializes the first element of the "x" array. As the loop progresses, "x(counter)" is updated to new values based on the previous value, thus determining its value dynamically.2. Why do we need to rewrite inside the while loop? - Each iteration of the while loop calculates for a new value of "x". If you only wrote "result(counter)", it would not perform any calculation. It would merely reference the current or previous value of "result(counter)", which doesn't change on its own.
inside the while loop? - Each iteration of the while loop calculates for a new value of "x". If you only wrote "result(counter)", it would not perform any calculation. It would merely reference the current or previous value of "result(counter)", which doesn't change on its own. To summarise, the counter keeps track of number of iterations and serves as an index for "x" and "result" arrays. This allows dynamic updates to the values of "x" and until the condition of the while loop is no longer met.
until the condition of the while loop is no longer met.I hope this helps.
