Just look at Japan's decades long stagnation while they kept interest rates at a minimum.
I believe that ultra-low interest rates are among the biggest impediments currently preventing genuine economic growth in the US economy. By committing to keep them near zero for the next two years, the Fed has actually lengthened the time Americans will now have to wait before a real recovery begins. Low rates are the root cause of the misallocation of resources that define the modern American economy. As a direct result, Americans borrow, consume, and speculate too much, while we save, produce, and invest too little.