Homework Help: Limits as n approaches infinity

1. Jun 20, 2009

noland0

lim n-> infinity of:

(n^4 + n^2 + 1)^0.5 - n^2 -1

sin(2/n)/(1/n)

(ln(n) + e^n)/(2^n + n^2)

If anyone could explain the processes required to obtain the limits of any.. (or all) of these statements, that would be great

2. Jun 20, 2009

zcd

In the first one, you could multiply the expression by its conjugate.

For the second one, recall the identity lim t->0 sin(t) /t = 1. (substitute 2/n = t as t->0)

For the third one, just apply l'hopital's rule several times.

3. Jun 20, 2009

HallsofIvy

Since this is your homework, try before you ask for help and then show what you have tried.