Checking if type or instance impliments IEnumerable regardless of type T [duplicate]

This question already has an answer here:

• How to find out if an object's type implements IEnumerable<X> where X derives from Base using Reflection 3 answers

I'm doing a heavy bit of reflection in my current project, and I'm trying to provide a few helper methods just to keep everything tidy.

I'd like to provide a pair of methods to determine if a type or instance implements IEnumerable - regardless of the type T. Here is what I have at the moment:

public static bool IsEnumerable(this Type type)
{
    return (type is IEnumerable);
}

public static bool IsEnumerable(this object obj)
{
    return (obj as IEnumerable != null);
}

When I test them using:

Debug.WriteLine("Type IEnumerable:   " + typeof(IEnumerable).IsEnumerable());
Debug.WriteLine("Type IEnumerable<>: " + typeof(IEnumerable<string>).IsEnumerable());
Debug.WriteLine("Type List:          " + typeof(List<string>).IsEnumerable());
Debug.WriteLine("Type string:        " + typeof(string).IsEnumerable());
Debug.WriteLine("Type DateTime:      " + typeof(DateTime).IsEnumerable());
Debug.WriteLine("Instance List:      " + new List<string>().IsEnumerable());
Debug.WriteLine("Instance string:    " + "".IsEnumerable());
Debug.WriteLine("Instance DateTime:  " + new DateTime().IsEnumerable());

I get this as the result:

Type IEnumerable:   False
Type IEnumerable<>: False
Type List:          False
Type string:        False
Type DateTime:      False
Instance List:      True
Instance string:    True
Instance DateTime:  False

The type method doesn't appear to work at all - I had expected a true for the direct System.Collections.IEnumerable match at least.

I'm aware that string is technically enumerable, albeit with a few caveats. Ideally in this case however I'd need the helper method to return false for it. I just need the instances with a defined IEnumerable<T> type to return true.

I've probably just missed something fairly obvious - can anyone point me in the right direction?