Limit involving greatest integer function

Asked Apr 04 '14 at 19:35

Active Apr 04 '14 at 19:41

Viewed 218 times

I can't work out this. The answer given is $1$, though I am getting infinity.

Please help me out

$$\lim_{x\rightarrow\infty}\frac{x^n+nx^{n-1}+1}{[x]}=?$$

edited Apr 04 '14 at 19:41

Jack

asked Apr 04 '14 at 19:35

Abhijit

2

Is the question to find n when given that the limit approaches 1? Because the limit depends on what n is. – Just_a_fool Apr 04 '14 at 19:50

0 Answers0