### Inequalities, solving problems

1.)

2!·4!·...·20!

1!·3!·...·19!
(this is a fraction)

I need to solve this in a closed form. ~~I'm not sure what my teacher mean with that, ~~the question is that we ~~ran ~~need to find out ~~of time at class.~~if it is better to solve in its original form or we need to 'help it a little'?
Now I typed down the whole exercise.

The other problem:

~~2.)~~2./a)

1+ 1/2 + 1/3 +...+ 1/n >10
We need positive ~~n.~~n that works for this.

~~3.)~~2./b)

We need the smallest n. (not only the answer, we need to ~~solve it)~~

We have to do it in Sage. That's prove why ~~I posted it in here.
Many thanks.~~that's the answer)

I ~~can attach a file to make you understand it needs to be solved with ~~wrote down all the ~~software.
I'll do it, however ~~questions for the ~~text is in hungarian but I translated it.
In the class we only do sage we have no papers, pencils, etc. ~~exercises. We can upload only ~~upload ~~sage files to the ~~server.
~~server. The teacher is tricky by the ~~way. ~~way.