In this case, the wave signal/clock current's frequency is 60 Hz and the rise and fall time at 1 ms:
This is the speed the counter counts/shows the numbers at:
In this case, the wave signal/clock current's frequency changes to 10 Hz with the same rise and fall time as before.
This is the speed the counter counts/shows the numbers at:
Thus, decreasing the frequency decreases the speed of the counter.
In this case, the wave signal/clock current's frequency changes to 50 ms with 60 Hz frequency.
This is the speed the counter counts/shows the numbers at:
In this case, the wave signal/clock current's frequency changes to 51 ms still (just 1 more milisecond) at 60 Hz frequency.
This is the speed the counter counts/shows the numbers at: The counter simply stops at 1 and won't count any further.
This is the same case at 61 Hz, 100 Hz, 450 Hz, until 500 Hz, still at 51 ms: However, in this case the counter counts fast up from a 0 to a certain number and stops pauses briefly, then counts fast again but for longer.
As this goes on, the counter's counting speed gradually goes for longer time periods, until the speed seems to become completely constant.