Inequalities, solving problems
1!·3!·...·19! (this is a fraction)
I need to solve this in a closed form. the question is that we need to find out 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:
1+ 1/2 + 1/3 +...+ 1/n >10 We need positive n that works for this.
We need the smallest n. (not only the answer, we need to prove why that's the answer)
I wrote down all the questions for the exercises. The whole thing is in a sage document. We can upload only sage files to the server too. The teacher is tricky by the way. The subject is called Solving mathematics problems with sage. Sadly I cannot upload pictures because I'd need more karma.
I can try to do this in the analytical way, and type it in sage, but any help or tips would be great with the proof too.. :) I have no idea what my teacher wants really.