Can anyone please explain to me how $\displaystyle \lim_{n->\infty}\left| \frac{nx}{n+1} \right| = |x|$? Does it not require L' Hopital's Rule and if so, how does it evaluate to |x|?
Can anyone please explain to me how $\displaystyle \lim_{n->\infty}\left| \frac{nx}{n+1} \right| = |x|$? Does it not require L' Hopital's Rule and if so, how does it evaluate to |x|?