>>11356532This is a terrible example in my opinion.
Are you drunk?
1/(x-25) doesn't have any relevance to an inductive proof.
If you could do an inductive proof, you could take some constant c = x-25
then do an inductive proof on 1/c, where c>0.
Inductive proofs can have limits on which numbers they apply to.
The point is.
It should be relatively easy for someone doing a proof whose difficulty is equal to their ability to determine whether it is possible to do it by induction.
For example, there are proofs in calculus where you want to find the value when your variable = 0.
but the function may not have a value at 0.
So they use the sandwich theorem.
A way of circumnavigating the problem.
