Changing your Facebook profile picture through your iPhone app may not be the obvious way to do this, but either way, reading on will find out how to do it.
Steps
Step 1. Select the Facebook icon from your iPhone 'Home' to launch the application
If necessary, provide your login credentials and log in.
Step 2. Select the button in the upper left corner of the screen, it is represented by three horizontal lines
Step 3. Select your name at the top of the list that appears on the left of the screen
Step 4. Select the 'Photos' link
Step 5. Select the photograph you want to use as your profile picture
When the image is displayed in full screen, press it with your finger to bring up its contextual menu.