The limit floored me

Calculus Level 4

limn(n2+n+1n2+n+1)= ?\displaystyle \lim_{n \to \infty} \left( \sqrt{n^2+n+1}-\left\lfloor \sqrt{ n^2+n+1 } \right \rfloor \right)=\ ?

Take the limit over integer values of nn .

Submit 0.1729 as your answer if limit doesn't exist.

Note: ..\lfloor .. \rfloor represents Floor Function.


Try for some more interesting problems of Limits and Derivatives.
×

Problem Loading...

Note Loading...

Set Loading...