I have just joined this forum. I studied maths 45+ years ago, and I have not used it since - so I have forgotten nearly everything! I decided to learn calculus again, but do not have access to tutors etc, which makes it hard when I want to check answers. Anyway ...
Show that n! > n^3 if n is large enough by induction? I get stuck.
First, the smallest n such that is 6.
Second, assuming it is true for n = k > 6 then show that
We know that
At which point I get stuck!
PS: My first attempt at using LaTex and I don't know why a formulae is moved down relative to the rest of the line that it is in.