Problem 4. (Root Finding) Write a program root.py (a variant of the sqrt.py program we dicussed in class) that accepts k (int), c (float), and epsilon (float) as command-line arguments, and writes to standard output the kth root of c, up to epsilon decimal places.

Hints: Set t (our guess) to c Use the condition |1 c/tk| > to continue the loop At each iteration, replace the estimate t by t f(t)/f'(t), where f(t) = t k c and f 0 (t) = kt^k1