a) Given the following non-tail recursive function for determining whether a given number is even or not:   (ns core-clj.core (:gen-class))   (defn even-num? [n] (if (= n 0) true (not (even-num? (dec n)))))   (defn -main [] (println) (even-num? 8)))     Rewrite the above clojure function (even-num?) so it can enforce the TCO condition: (b) Use the built-in higher ordered functions like (filter, map, take or reduce) to filter out the first three even numbers in given list like (4 7 9 6 19 8 21). Note: you need to call the even-num? function given in (a).

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
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a) Given the following non-tail recursive function for determining whether a given number is even or not:
 
(ns core-clj.core
(:gen-class))
 
(defn even-num? [n]
(if (= n 0)
true
(not (even-num? (dec n)))))
 
(defn -main []
(println) (even-num? 8)))
 
 
Rewrite the above clojure function (even-num?) so it can enforce the TCO condition:

(b) Use the built-in higher ordered functions like (filter, map, take or reduce) to filter out the first three even numbers in given list like (4 7 9 6 19 8 21). Note: you need to call the even-num? function given in (a).

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