Now, jailbreaking is more easier than before. No need to connect with computer. No need to connect with iTunes. It can jailbreak. Yes, you need only internet connection for jailbreak. You need to open
from your idevice.
You will see following screen
Slide to jailbreak and just need to wait a minute. After download complete and it will install cydia automatically. If it done, you will see cydia on your home screen. Thank comex for jailbreak me.
Updated: You can also try
if jailbreakme.com server busy
