I am unable to connect my Olympus Tough TG-3 to Wi-Fi.

Open the battery/card compartment and check to make sure a battery is installed. If you do not have a battery installed insert one and check to see if the camera will power on. If it still will not check battery to make sure it is fully charged. After checking if is fully charged and reinserting battery, try powering on the camera again. If the camera still does not turn on you may have a faulty battery. You may need to purchase a new battery.

Turn on your camera and press the button on the back of your camera that has the icon of a "boxed arrow" located under the button that says "INFO". Once pressed your most recent photograph will be displayed. Then use the scroll wheel located underneath the button to press left on the directional pad to go to a previous photo or press right to go to the next picture.