Hello!

You gave no specific questions, I think I should formulate them myself.

**1. Alpha decay.** Some types of atoms randomly emit alpha particles with the constant probability. For a large collection of such (identical) atoms a half of atoms will decay after some constant time, called half-life. After two half-life periods, 1/4 of the initial amount of atoms will remain, then 1/8 and so on.

So the number of initial atoms of that collection will decrease up to zero.

`lim 1/2^n = 0.`

**2. Atmosphere free falling.** Any fixed object...

(The entire section contains 272 words.)

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