What happens when you try to connect to it and how are you tying? Are you working with a cable from the PC to the router or trying to connect by wireless? Does the router have lights on it, showing it's connected to the Internet?
It does sound as though it's dead. When connected with an ethernet cable, the light corresponding to the connected port should glow and if there's a DSL cable form the telephone socket, hat light should show up as well.
I can't say without seeing it but I'm trying to rescue one here right now for a customer and it has dry solder joints. It's a five year old Netgear provided by her ISP who promised to post a replacement - charged at £32 - in five working days. With Christmas looming she's wait until early January but that ISP locks their routers in so we're stuck with it until I find another one of theirs.
You'll find a cheap enough replacement for yours. By all means wait for second and third opinions but I can't think of another reason.