I'm integrating google map v2 to my android app, I'm using Eclipse with minimum SDK Version version 10. I'm using a Samsung Galaxy Ace as a test device.
I've read and done the necessary steps in this site:
http://developer.android.com/google/play-services/setup.html https://developers.google.com/maps/documentation/android/start
I've also consult this tutorials:
http://www.vogella.com/articles/AndroidGoogleMaps/article.html http://www.androidhive.info/2013/08/android-working-with-google-maps-v2/
The problem is that the google-play-service_lib seems to be not included although I have done the step Project > Properties > Android > Add: google-play-service_lib
Here is a screenshot:

I've tried solving this problem by doing Project > Properties > Java Build Path and adding the google-play-service_lib, but this will cause a runtime error java.lang.noclassdeffounderror: com.google.android.gms.R$styleable
Has anyone encounter this problem, and how did you solve this?

The problem is because when you are importing lib project at that time you haven't copy that project in to workspace.