Trying to be independent is what your baby loves to do all the time. He would want to do everything on his own and may even scream if you try to help him out. He would spend a lot of his waking hours in pushing; pulling, dragging, pressing and touching all the things around him and in doing so will discover many new activities. Opening and closing doors will be one activity that he will love to do all them.
What you need to know
You may feel that opening and closing doors can be dangerous for your little one. However, instead of discouraging your child try to be more alert and make the doors child proof to avoid his fingers getting pinched.