Question

find the limit

Answer 1

\[\lim_{n \rightarrow \infty}\frac{ n^2 }{ n \sqrt{n^2 +1} }\]

Answer 2

i would say 1

Answer 3

can you elaborate?

Answer 4

First, simplify by canceling out the n's

Answer 5

than u have n/(n^2 +1)^1/2

Answer 6

that little 1 doesn't matter, b/c n is approaching infinity (who cares about the one?)

Answer 7

so let;s pretend its n/(n^2)^1/2

Answer 8

see?

Answer 9

I just saw it. I am using way to much thought here. I never simplified. Ater that I can multiply everything by (n^2)^{1/2} which clears it up thank you

Answer 10

:D gotta love limits