The limit floored me

Calculus Level 4

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

Take the limit over integer values of \(n \).

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...