Question

Limit as n approaches ∞ of n(√(n^2 +1) -n) using Lo Hospital's rule.
I tried using Lo Hospital's rule on it in the form (√(n^2 +1) -n)/n^-1 but it just got more complicated... Not sure what to do. Probably missing a sequence theorem.

Answer 1

you gotta make it a rational function first

Answer 2

Here's the part where I admit that despite taking AP Calc I don't know what a rational funciton is

Answer 3

*function

Answer 4

A function over another function

Answer 5

do you got this right