I really need help with these 2 questions
Lim (X+√(x^2+2x))
X-->-∞
Lim 3√(1+X) - 3√(X)
X-->∞
Thank You in advance
We have the indeterminate form of $\displaystyle \displaystyle \infty-\infty $ here.
Suppose $\displaystyle \displaystyle \lim_{x\to-\infty}(f-g) $ is of the form $\displaystyle \displaystyle \infty-\infty $. To apply L'Hopital's rule, notice $\displaystyle \displaystyle f-g = \frac{1/g-1/f}{1/(fg)} $.
Now we'll get the indeterminate form $\displaystyle \displaystyle \frac00 $.