I wonder why would a C++, C#, Java developer want to learn a dynamic language?
Assuming the company won't switch its main development language from C++/C#/Java to a dynamic one what use is there for a dynamic language?
What helper tasks can be done by the dynamic languages faster or better after only a few days of learning than with the static language that you have been using for several years?
Update
After seeing the first few responses it is clear that there are two issues.
My main interest would be something that is justifiable to the employer as an expense.
That is, I am looking for justifications for the employer to finance the learning of a dynamic language. Aside from the obvious that the employee will have broader view, the
employers are usually looking for some "real" benefit.
You should also consider learning a functional programming language like Scala.  It has many of the advantages of Ruby, including a concise syntax, and powerful features like closures.  But it compiles to Java class files and and integrate seamlessly into a Java stack, which may make it much easier for your employer to swallow.
Scala isn't dynamically typed, but its "implicit conversion" feature gives many, perhaps even all of the benefits of dynamic typing, while retaining many of the advantages of static typing.
Why learn Perl, Python, Ruby if the company is using C++, C# or Java as the application language?