There is currently a (ballpark) 7tps limit due to the current 1MB block size limit although this is currently under the subject of intense discussion/debate and

There is currently a (ballpark) 7tps limit due to the current 1MB block size limit although this is currently under the subject of intense discussion/debate and will likely be solved in the coming months/years by a combination of increases to the block size (imminent), and the deployments of technologies like side chains and lightning network (both under development).