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See how they grow.

Guess which grows the fastest, which the slowest.

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n

.

n2

.

2n

.

n10

.

10n

.

n!

      .

log (n)

.

log (n2)

.

log (2n)

.

log (n10)

.

log (10n)

.

log (n!)

.

Large numbers are displayed in the format Ae+B, which means A x 10B. For example, 1000 can be displayed as 1e+3, 1000000 is 1e+6 etc.

The largest number that this program can display is

This is a humongus number. You will not see numbers this large in normal scientific or engineering work. The estimated number of atoms in the universe is "only" 1080, or 1e+80. If anyone ever gives you a number bigger than this, tell him "Are you sure? That's more than the number of atoms in the universe!".

If a number is bigger than what the computer can handle, it is displayed as Infinity, even though it isn't really infinite. Any log of the number, will also be considered Infinity by the computer.

Links

Good summary of log theory http://oakroadsystems.com/math/loglaws.htm