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Tip: draw graphs of these functions using something like Wolfram Alpha.

E.g., try: plot log(log(n)) from 1 to 10000 to see an individual graph or plot log(log(n)) and plot log(n) from 1 to 10000 to see a comparison.

Tip: draw graphs of these functions using something like Wolfram Alpha to get a feeling for how they grow. Note that this is not very precise, but if you try it for sufficiently large numbers, you should see the comparative patterns of growth. This of course is no substitute for a proof.

E.g., try: plot log(log(n)) from 1 to 10000 to see an individual graph or plot log(log(n)) and plot log(n) from 1 to 10000 to see a comparison.

Tip: draw graphs of these functions using something like Wolfram Alpha.

E.g., try: plot log(log(n)) from 1 to 100 to see an individual graph or plot log(log(n)) and plot log(n) from 1 to 100 to see a comparison.

Tip: draw graphs of these functions using something like Wolfram Alpha.

E.g., try: plot log(log(n)) from 1 to 10000 to see an individual graph or plot log(log(n)) and plot log(n) from 1 to 10000 to see a comparison.

Tip: draw graphs of these functions using something like Wolfram Alpha.

E.g., try: plot log(log(n)) or plot log(log(n)) and plot log(n) from 1 to 100.

Tip: draw graphs of these functions using something like Wolfram Alpha.

E.g., try: plot log(log(n)) from 1 to 100 to see an individual graph or plot log(log(n)) and plot log(n) from 1 to 100 to see a comparison.