1. ## Limits (infinity problems)

I really need help with these 2 questions

Lim (X+√(x^2+2x))
X-->-∞ 

Lim 3√(1+X) - 3√(X)
X-->∞

2. We have the indeterminate form of $\displaystyle \infty-\infty$ here.
Suppose $\displaystyle \lim_{x\to-\infty}(f-g)$ is of the form $\displaystyle \infty-\infty$. To apply L'Hopital's rule, notice $\displaystyle f-g = \frac{1/g-1/f}{1/(fg)}$.
Now we'll get the indeterminate form $\displaystyle \frac00$.