How to prove this equation?

[Math_newbie]

So i have to prove this equation where (x) is any real number and (n) a natural number above 0.Also, the brackets stand for ceiling function.
I've tried to use the proof of ceiling function but i failed.Any suggestions?

 

[Dr.Peterson]

View attachment 23261
So i have to prove this equation where (x) is any real number and (n) a natural number above 0.Also, the brackets stand for ceiling function.
I've tried to use the proof of ceiling function but i failed.Any suggestions?

Usually when [x] is used, it means the floor function, not the ceiling function.

I'm not sure what "the proof of ceiling function" refers to. Please show us what that is, and at least one attempt you've made, so we can see if you are going in a reasonable direction.

 

[pka]

View attachment 23261
So i have to prove this equation where (x) is any real number and (n) a natural number above 0.Also, the brackets stand for ceiling function.
I've tried to use the proof of ceiling function but i failed.Any suggestions?

This page has many proofs on it involving floor & ceiling functions,