[MATH]f(x) = x + \frac{1}{\sqrt{1+x^2}}[/MATH]
limit questions …
as [MATH]x \to \infty[/MATH], the first term increases without bound and the second term approaches zero.
as [MATH]x \to -\infty[/MATH], the first term decreases without bound and the second term approaches zero.
derivative question …
[math]f(x) = x + (1+x^2)^{-1/2}[/math]
use the power rule & the chain rule to find [math]f’(x)[/math]