Does playing large iPhone games weaken the battery over the long run?

I got a new iPhone and I love it and want to keep it in pristine condition as long as possible. For some reason, I've always had this (irrational?) fear that playing big games like Dead Trigger, Grand Theft Auto, and Shadow Gun on my other iPhones would lower the battery because it makes it die faster.
If you could help me out as well as maybe cite a website or something so I know it's a little more official.

Gmail contacts on iPhone 3G?

I'm stuck using an iPhone 3G instead of my android phone, so all my contacts are conveniently saved to google. The gmail app requires IOS 6.0, this phone will only upgrade to 4.2.1 which it has been. So seems like an impass and I just can't have gmail on this phone to sync my contacts. So I'm hoping after just finished jailbreaking the phone somebody can help me with the help of cydia is there any way to get these contacts to sync from my gmail account to this iPhone 3G?

Added (1). -Google drive and google plus both had same problem requiring IOS 6

Is there an iphone app that tells you the dimensions of your pictures?

Is there an iphone app that tells you the dimensions of your pictures?
I wanted to know if there's an app that'll tell you the demension of the pictures? And also if there's an app that let's you resize your pictures to whatever you want to set it to. I don't have a computer, only an iphone, so I wanted to know if there's an app or some way I can find out the dimensions.

How to activate my Verizon iphone 5? - 1

I just received my iPhone 5 (Verizon) in the mail and did all the stuff with iTunes, but the carrier at the top doesn't say Verizon. I turned off my old phone (iPhone 4) when I was plugged it into iTunes but doesn't let me activate it as a new phone. I'm still using the same number and carrier i just want my number to be transferred to the new phone.

Why does my iphone 5 speakers sound staticky?

The phone didn't fall in water… It was in the bathroom catching humidity mostly from the hot water when I was showering but other than that, why does it sound that way? Even my ringer sounds like that when someone calls me

How to share hotel Wi-Fi to gaming console via Android/iPhone?

Some hotels have a login passkey or otherwise login verification that you need a browser to access, -not- WPA/WEP security keys. For some reason I'm unable to pass this "login" on a console (Xbox 360, PS4), yet I'm able to do so on my iPhone/Android tablet via their browsers.

Sans using a laptop, is there any way I can use to share a Wi-Fi connection through my iPhone or Android tablet without using my data plan?

How to delete apps from iphone 4s?

How do I delete apps from my iphone 4s that were already there when I got the phone. Like voice memo, newstand etc? They don't have the X when I click and hold on them