problems in fn

QUESTION: Write a C program to compute the Sine value of a given number X using the following series. Sin(x) = x - x3 / 3! + x5 / 5! - x7 / 7! + ……
Note that x1/1! = x, so this series is pretty easy to write as one repeatable step. Use a while loop or recursion.
To prevent the usual error when the number of factorials exceeds the acceptable range for a given type you can look the reference http://cpp.forum24.ru/?1-3-0-00000047-000-0-0-1347056992

Though it is written in Russia you can translate it with google or at least to see how many factorial numbers can fit into an object of type int.
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