Question

What is the limit of `[sqrt(x^2+1)] / x` as x approaches infinity?

Answer 1

`1`

Explanation:

So, you have `sqrt(x^2+1)/x`

As `x` approached infinity, any constant such as the `1` here can be ignored because it is infintesimally small. Now you have

`sqrt(x^2)/x`

This is equal to

`x/x`

which is equal to `1`