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Select the correct answerWhich of these is false about recursion?OptionsRecursive functions usually take more memory space than non-recursive functionRecursive function can be replaced by a non-recursive functionRecursive functions run faster than non-recursive functionRecursion makes programs easier to understand

Question

Select the correct answerWhich of these is false about recursion?OptionsRecursive functions usually take more memory space than non-recursive functionRecursive function can be replaced by a non-recursive functionRecursive functions run faster than non-recursive functionRecursion makes programs easier to understand

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Solution

The false statement about recursion is: "Recursive functions run faster than non-recursive function".

Here's why:

  1. "Recursive functions usually take more memory space than non-recursive function" - This is true. Recursive functions require additional memory to handle the stack of recursive calls.

  2. "Recursive function can be replaced by a non-recursive function" - This is also true. Any recursive function can be rewritten as a non-recursive (iterative) function, although the iterative version may be more complex or less intuitive.

  3. "Recursive functions run faster than non-recursive function" - This is false. Recursive functions are usually slower than non-recursive ones due to the overhead of maintaining the call stack.

  4. "Recursion makes programs easier to understand" - This is generally true. Recursion can often make the code more readable and easier to understand, although this can depend on the specific problem and the programmer's familiarity with recursion.

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