There's great variability in the number of cycles solid state storage can stand. With current advances and updated drivers and firmware, cycles of upwards of 1,000,000 are common. Wear leveling technology is commonly used so the read/writes don't hit the same spot constantly.
Don't worry, generally the storage will likely outlive the device
Yes, you can get solid state drives for enterprise servers, but it's generally used where they need fast access such as databases. They're also frequently used as cache in front of lots of hard drives to speed up access and to allow for resiliancy in case of power issues, especially when the solid state has a battery backup.