How do I tackle these kind of growth rate questions? I almost always somehow rank them wrongly...
My current approach:
I have a list of general orders: 1 < log n < sqroot(n) < n < n log n , n^2 < n^3 < ... < 2^n < 3^n < ... n^n
I then try to convert those in the question to the format above and then order them accordingly.
However, I find that I sometimes still order them wrongly, although some of them are still in the correct order
Another way I tried was to substitute the n with a fixed value e.g. '99' and then order them accordingly to the resulting output - it seemed to work but I am not sure if this will always work?
What is the best way to do this? Would me substituting the n with a 'large' value e.g 99 always work, or when will there be cases that will fail?